Live analysis

1,012,800

1,012,800 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.).

1,012,800 (one million twelve thousand eight hundred) is an even 7-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3 × 5² × 211. Its proper divisors sum to 2,325,776, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7440.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,012,788 1,012,789 1,012,790 1,012,791 1,012,792 1,012,793 1,012,794 1,012,795 1,012,796 1,012,797 1,012,798 1,012,799 1,012,800 1,012,801 1,012,802 1,012,803 1,012,804 1,012,805 1,012,806 1,012,807 1,012,808 1,012,809 1,012,810 1,012,811 1,012,812

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 82,101
Square (n²): 1,025,763,840,000
Cube (n³): 1,038,893,617,152,000,000
Divisor count: 84
σ(n) — sum of divisors: 3,338,576
φ(n) — Euler's totient: 268,800
Sum of prime factors: 236

Primality

Prime factorization: 2 ⁶ × 3 × 5 ² × 211

Nearest primes: 1,012,789 (−11) · 1,012,811 (+11)

Divisors & multiples

All divisors (84)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 64 · 75 · 80 · 96 · 100 · 120 · 150 · 160 · 192 · 200 · 211 · 240 · 300 · 320 · 400 · 422 · 480 · 600 · 633 · 800 · 844 · 960 · 1055 · 1200 · 1266 · 1600 · 1688 · 2110 · 2400 · 2532 · 3165 · 3376 · 4220 · 4800 · 5064 · 5275 · 6330 · 6752 · 8440 · 10128 · 10550 · 12660 · 13504 · 15825 · 16880 · 20256 · 21100 · 25320 · 31650 · 33760 · 40512 · 42200 · 50640 · 63300 · 67520 · 84400 · 101280 · 126600 · 168800 · 202560 · 253200 · 337600 · 506400 (half) · 1012800

Aliquot sum (sum of proper divisors): 2,325,776

Factor pairs (a × b = 1,012,800)

1 × 1012800

2 × 506400

3 × 337600

4 × 253200

5 × 202560

6 × 168800

8 × 126600

10 × 101280

12 × 84400

15 × 67520

16 × 63300

20 × 50640

24 × 42200

25 × 40512

30 × 33760

32 × 31650

40 × 25320

48 × 21100

50 × 20256

60 × 16880

64 × 15825

75 × 13504

80 × 12660

96 × 10550

100 × 10128

120 × 8440

150 × 6752

160 × 6330

192 × 5275

200 × 5064

211 × 4800

240 × 4220

300 × 3376

320 × 3165

400 × 2532

422 × 2400

480 × 2110

600 × 1688

633 × 1600

800 × 1266

844 × 1200

960 × 1055

First multiples

1,012,800 · 2,025,600 (double) · 3,038,400 · 4,051,200 · 5,064,000 · 6,076,800 · 7,089,600 · 8,102,400 · 9,115,200 · 10,128,000

Sums & aliquot sequence

As consecutive integers: 337,599 + 337,600 + 337,601 202,558 + 202,559 + 202,560 + 202,561 + 202,562 67,513 + 67,514 + … + 67,527 40,500 + 40,501 + … + 40,524

Aliquot sequence: 1,012,800 → 2,325,776 → 2,180,446 → 1,272,098 → 662,410 → 700,406 → 525,994 → 375,734 → 237,274 → 142,886 → 71,446 → 36,914 → 18,460 → 23,876 → 19,132 → 14,356 → 11,712 — unresolved within range

Continued fraction of √n

√1,012,800 = [1006; (2, 1, 1, 1, 2, 1, 2, 1, 3, 2, 7, 1, 50, 1, 2, 1, 2, 19, 1, 3, 4, 3, 1, 1, …)]

Representations

In words: one million twelve thousand eight hundred
Ordinal: 1012800th
Binary: 11110111010001000000
Octal: 3672100
Hexadecimal: 0xF7440
Base64: D3RA
One's complement: 4,293,954,495 (32-bit)
Scientific notation: 1.0128 × 10⁶
As a duration: 1,012,800 s = 11 days, 17 hours, 20 minutes

In other bases

ternary (3) 1220110022010

quaternary (4) 3313101000

quinary (5) 224402200

senary (6) 33412520

septenary (7) 11415525

nonary (9) 1813263

undecimal (11) 631a28

duodecimal (12) 40a140

tridecimal (13) 295cb9

tetradecimal (14) 1c514c

pentadecimal (15) 150150

As an angle

1,012,800° = 2,813 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese: 一百零一萬二千八百
Chinese (financial): 壹佰零壹萬貳仟捌佰

In other modern scripts

Eastern Arabic ١٠١٢٨٠٠ Devanagari १०१२८०० Bengali ১০১২৮০০ Tamil ௧௦௧௨௮௦௦ Thai ๑๐๑๒๘๐๐ Tibetan ༡༠༡༢༨༠༠ Khmer ១០១២៨០០ Lao ໑໐໑໒໘໐໐ Burmese ၁၀၁၂၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012800, here are decompositions:

11 + 1012789 = 1012800
29 + 1012771 = 1012800
31 + 1012769 = 1012800
37 + 1012763 = 1012800
67 + 1012733 = 1012800
79 + 1012721 = 1012800
83 + 1012717 = 1012800
97 + 1012703 = 1012800

Showing the first eight; more decompositions exist.

Hex color

#0F7440

RGB(15, 116, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.116.64.

Address: 0.15.116.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.116.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 2800 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2800-10-01 (MMDYYYY (US, single-digit day))
2800-01-10 (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 1,012,800 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 US1,012,800 on Google Patents ↗ Look up on USPTO ↗