Live analysis

1,012,460

1,012,460 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.).

1,012,460 (one million twelve thousand four hundred sixty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 23 × 31 × 71. Its proper divisors sum to 1,309,972, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF72EC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,012,448 1,012,449 1,012,450 1,012,451 1,012,452 1,012,453 1,012,454 1,012,455 1,012,456 1,012,457 1,012,458 1,012,459 1,012,460 1,012,461 1,012,462 1,012,463 1,012,464 1,012,465 1,012,466 1,012,467 1,012,468 1,012,469 1,012,470 1,012,471 1,012,472

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 642,101
Square (n²): 1,025,075,251,600
Cube (n³): 1,037,847,689,234,936,000
Divisor count: 48
σ(n) — sum of divisors: 2,322,432
φ(n) — Euler's totient: 369,600
Sum of prime factors: 134

Primality

Prime factorization: 2 ² × 5 × 23 × 31 × 71

Nearest primes: 1,012,457 (−3) · 1,012,463 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 10 · 20 · 23 · 31 · 46 · 62 · 71 · 92 · 115 · 124 · 142 · 155 · 230 · 284 · 310 · 355 · 460 · 620 · 710 · 713 · 1420 · 1426 · 1633 · 2201 · 2852 · 3266 · 3565 · 4402 · 6532 · 7130 · 8165 · 8804 · 11005 · 14260 · 16330 · 22010 · 32660 · 44020 · 50623 · 101246 · 202492 · 253115 · 506230 (half) · 1012460

Aliquot sum (sum of proper divisors): 1,309,972

Factor pairs (a × b = 1,012,460)

1 × 1012460

2 × 506230

4 × 253115

5 × 202492

10 × 101246

20 × 50623

23 × 44020

31 × 32660

46 × 22010

62 × 16330

71 × 14260

92 × 11005

115 × 8804

124 × 8165

142 × 7130

155 × 6532

230 × 4402

284 × 3565

310 × 3266

355 × 2852

460 × 2201

620 × 1633

710 × 1426

713 × 1420

First multiples

1,012,460 · 2,024,920 (double) · 3,037,380 · 4,049,840 · 5,062,300 · 6,074,760 · 7,087,220 · 8,099,680 · 9,112,140 · 10,124,600

Sums & aliquot sequence

As consecutive integers: 202,490 + 202,491 + 202,492 + 202,493 + 202,494 126,554 + 126,555 + … + 126,561 44,009 + 44,010 + … + 44,031 32,645 + 32,646 + … + 32,675

Aliquot sequence: 1,012,460 → 1,309,972 → 982,486 → 495,818 → 252,730 → 208,070 → 166,474 → 165,302 → 82,654 → 72,074 → 36,040 → 51,440 → 68,344 → 59,816 → 52,354 → 26,180 → 46,396 — unresolved within range

Continued fraction of √n

√1,012,460 = [1006; (4, 1, 2, 1, 14, 16, 1, 1, 3, 2, 2, 1, 3, 40, 1, 4, 182, 1, 2, 1, 16, 1, 2, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: one million twelve thousand four hundred sixty
Ordinal: 1012460th
Binary: 11110111001011101100
Octal: 3671354
Hexadecimal: 0xF72EC
Base64: D3Ls
One's complement: 4,293,954,835 (32-bit)
Scientific notation: 1.01246 × 10⁶
As a duration: 1,012,460 s = 11 days, 17 hours, 14 minutes, 20 seconds

In other bases

ternary (3) 1220102211112

quaternary (4) 3313023230

quinary (5) 224344320

senary (6) 33411152

septenary (7) 11414531

nonary (9) 1812745

undecimal (11) 631749

duodecimal (12) 409ab8

tridecimal (13) 295ab7

tetradecimal (14) 1c4d88

pentadecimal (15) 14eec5

As an angle

1,012,460° = 2,812 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬二千四百六十
Chinese (financial): 壹佰零壹萬貳仟肆佰陸拾

In other modern scripts

Eastern Arabic ١٠١٢٤٦٠ Devanagari १०१२४६० Bengali ১০১২৪৬০ Tamil ௧௦௧௨௪௬௦ Thai ๑๐๑๒๔๖๐ Tibetan ༡༠༡༢༤༦༠ Khmer ១០១២៤៦០ Lao ໑໐໑໒໔໖໐ Burmese ၁၀၁၂၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012460, here are decompositions:

3 + 1012457 = 1012460
13 + 1012447 = 1012460
37 + 1012423 = 1012460
61 + 1012399 = 1012460
139 + 1012321 = 1012460
181 + 1012279 = 1012460
193 + 1012267 = 1012460
199 + 1012261 = 1012460

Showing the first eight; more decompositions exist.

Hex color

#0F72EC

RGB(15, 114, 236)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.114.236.

Address: 0.15.114.236
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.114.236

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 2460 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2460-10-01 (MMDYYYY (US, single-digit day))
2460-01-10 (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 1,012,460 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 US1,012,460 on Google Patents ↗ Look up on USPTO ↗