Live analysis

1,012,480

1,012,480 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,012,480 (one million twelve thousand four hundred eighty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 5 × 7 × 113. Its proper divisors sum to 1,783,712, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7300.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,012,468 1,012,469 1,012,470 1,012,471 1,012,472 1,012,473 1,012,474 1,012,475 1,012,476 1,012,477 1,012,478 1,012,479 1,012,480 1,012,481 1,012,482 1,012,483 1,012,484 1,012,485 1,012,486 1,012,487 1,012,488 1,012,489 1,012,490 1,012,491 1,012,492

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 842,101
Square (n²): 1,025,115,750,400
Cube (n³): 1,037,909,194,964,992,000
Divisor count: 72
σ(n) — sum of divisors: 2,796,192
φ(n) — Euler's totient: 344,064
Sum of prime factors: 141

Primality

Prime factorization: 2 ⁸ × 5 × 7 × 113

Nearest primes: 1,012,463 (−17) · 1,012,481 (+1)

Divisors & multiples

All divisors (72)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 32 · 35 · 40 · 56 · 64 · 70 · 80 · 112 · 113 · 128 · 140 · 160 · 224 · 226 · 256 · 280 · 320 · 448 · 452 · 560 · 565 · 640 · 791 · 896 · 904 · 1120 · 1130 · 1280 · 1582 · 1792 · 1808 · 2240 · 2260 · 3164 · 3616 · 3955 · 4480 · 4520 · 6328 · 7232 · 7910 · 8960 · 9040 · 12656 · 14464 · 15820 · 18080 · 25312 · 28928 · 31640 · 36160 · 50624 · 63280 · 72320 · 101248 · 126560 · 144640 · 202496 · 253120 · 506240 (half) · 1012480

Aliquot sum (sum of proper divisors): 1,783,712

Factor pairs (a × b = 1,012,480)

1 × 1012480

2 × 506240

4 × 253120

5 × 202496

7 × 144640

8 × 126560

10 × 101248

14 × 72320

16 × 63280

20 × 50624

28 × 36160

32 × 31640

35 × 28928

40 × 25312

56 × 18080

64 × 15820

70 × 14464

80 × 12656

112 × 9040

113 × 8960

128 × 7910

140 × 7232

160 × 6328

224 × 4520

226 × 4480

256 × 3955

280 × 3616

320 × 3164

448 × 2260

452 × 2240

560 × 1808

565 × 1792

640 × 1582

791 × 1280

896 × 1130

904 × 1120

First multiples

1,012,480 · 2,024,960 (double) · 3,037,440 · 4,049,920 · 5,062,400 · 6,074,880 · 7,087,360 · 8,099,840 · 9,112,320 · 10,124,800

Sums & aliquot sequence

As consecutive integers: 202,494 + 202,495 + 202,496 + 202,497 + 202,498 144,637 + 144,638 + … + 144,643 28,911 + 28,912 + … + 28,945 8,904 + 8,905 + … + 9,016

Aliquot sequence: 1,012,480 → 1,783,712 → 2,230,144 → 3,155,456 → 3,150,316 → 2,917,844 → 2,353,324 → 1,782,500 → 2,416,156 → 1,838,612 → 1,409,248 → 1,427,264 → 1,506,436 → 1,129,834 → 564,920 → 752,680 → 998,360 — unresolved within range

Continued fraction of √n

√1,012,480 = [1006; (4, 1, 1, 7, 3, 3, 1, 1, 1, 125, 7, 4, 1, 7, 18, 503, 18, 7, 1, 4, 7, 125, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one million twelve thousand four hundred eighty
Ordinal: 1012480th
Binary: 11110111001100000000
Octal: 3671400
Hexadecimal: 0xF7300
Base64: D3MA
One's complement: 4,293,954,815 (32-bit)
Scientific notation: 1.01248 × 10⁶
As a duration: 1,012,480 s = 11 days, 17 hours, 14 minutes, 40 seconds

In other bases

ternary (3) 1220102212021

quaternary (4) 3313030000

quinary (5) 224344410

senary (6) 33411224

septenary (7) 11414560

nonary (9) 1812767

undecimal (11) 631767

duodecimal (12) 409b14

tridecimal (13) 295b01

tetradecimal (14) 1c4da0

pentadecimal (15) 14eeda

As an angle

1,012,480° = 2,812 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬二千四百八十
Chinese (financial): 壹佰零壹萬貳仟肆佰捌拾

In other modern scripts

Eastern Arabic ١٠١٢٤٨٠ Devanagari १०१२४८० Bengali ১০১২৪৮০ Tamil ௧௦௧௨௪௮௦ Thai ๑๐๑๒๔๘๐ Tibetan ༡༠༡༢༤༨༠ Khmer ១០១២៤៨០ Lao ໑໐໑໒໔໘໐ Burmese ၁၀၁၂၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012480, here are decompositions:

17 + 1012463 = 1012480
23 + 1012457 = 1012480
41 + 1012439 = 1012480
47 + 1012433 = 1012480
59 + 1012421 = 1012480
83 + 1012397 = 1012480
101 + 1012379 = 1012480
107 + 1012373 = 1012480

Showing the first eight; more decompositions exist.

Hex color

#0F7300

RGB(15, 115, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.115.0.

Address: 0.15.115.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.115.0

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 2480 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2480-10-01 (MMDYYYY (US, single-digit day))
2480-01-10 (DDMYYYY (Euro, single-digit month))

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,012,480 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,012,480 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1012480 first appears in π at position 99,115 of the decimal expansion (the 99,115ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1012480 on Pi Search ↗