Live analysis

1,013,920

1,013,920 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.).

1,013,920 (one million thirteen thousand nine hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 6,337. Its proper divisors sum to 1,381,844, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF78A0.

Abundant Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,908 1,013,909 1,013,910 1,013,911 1,013,912 1,013,913 1,013,914 1,013,915 1,013,916 1,013,917 1,013,918 1,013,919 1,013,920 1,013,921 1,013,922 1,013,923 1,013,924 1,013,925 1,013,926 1,013,927 1,013,928 1,013,929 1,013,930 1,013,931 1,013,932

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 293,101
Square (n²): 1,028,033,766,400
Cube (n³): 1,042,343,996,428,288,000
Divisor count: 24
σ(n) — sum of divisors: 2,395,764
φ(n) — Euler's totient: 405,504
Sum of prime factors: 6,352

Primality

Prime factorization: 2 ⁵ × 5 × 6337

Nearest primes: 1,013,899 (−21) · 1,013,921 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 6337 · 12674 · 25348 · 31685 · 50696 · 63370 · 101392 · 126740 · 202784 · 253480 · 506960 (half) · 1013920

Aliquot sum (sum of proper divisors): 1,381,844

Factor pairs (a × b = 1,013,920)

1 × 1013920

2 × 506960

4 × 253480

5 × 202784

8 × 126740

10 × 101392

16 × 63370

20 × 50696

32 × 31685

40 × 25348

80 × 12674

160 × 6337

First multiples

1,013,920 · 2,027,840 (double) · 3,041,760 · 4,055,680 · 5,069,600 · 6,083,520 · 7,097,440 · 8,111,360 · 9,125,280 · 10,139,200

Sums & aliquot sequence

As a sum of two squares: 148² + 996² = 708² + 716²

As consecutive integers: 202,782 + 202,783 + 202,784 + 202,785 + 202,786 15,811 + 15,812 + … + 15,874 3,009 + 3,010 + … + 3,328

Aliquot sequence: 1,013,920 → 1,381,844 → 1,036,390 → 860,810 → 715,990 → 756,266 → 563,512 → 493,088 → 530,032 → 508,344 → 787,656 → 1,236,984 → 2,411,016 → 3,616,584 → 5,718,456 → 9,769,224 → 14,772,696 — unresolved within range

Continued fraction of √n

√1,013,920 = [1006; (1, 14, 1, 1, 1, 1, 2, 1, 3, 6, 2, 1, 125, 5, 2, 4, 2, 7, 1, 1, 1, 3, 4, 503, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand nine hundred twenty
Ordinal: 1013920th
Binary: 11110111100010100000
Octal: 3674240
Hexadecimal: 0xF78A0
Base64: D3ig
One's complement: 4,293,953,375 (32-bit)
Scientific notation: 1.01392 × 10⁶
As a duration: 1,013,920 s = 11 days, 17 hours, 38 minutes, 40 seconds

In other bases

ternary (3) 1220111211121

quaternary (4) 3313202200

quinary (5) 224421140

senary (6) 33422024

septenary (7) 11422015

nonary (9) 1814747

undecimal (11) 632856

duodecimal (12) 40a914

tridecimal (13) 29666b

tetradecimal (14) 1c570c

pentadecimal (15) 15064a

As an angle

1,013,920° = 2,816 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百零一萬三千九百二十
Chinese (financial): 壹佰零壹萬參仟玖佰貳拾

In other modern scripts

Eastern Arabic ١٠١٣٩٢٠ Devanagari १०१३९२० Bengali ১০১৩৯২০ Tamil ௧௦௧௩௯௨௦ Thai ๑๐๑๓๙๒๐ Tibetan ༡༠༡༣༩༢༠ Khmer ១០១៣៩២០ Lao ໑໐໑໓໙໒໐ Burmese ၁၀၁၃၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013920, here are decompositions:

29 + 1013891 = 1013920
41 + 1013879 = 1013920
101 + 1013819 = 1013920
107 + 1013813 = 1013920
179 + 1013741 = 1013920
191 + 1013729 = 1013920
233 + 1013687 = 1013920
239 + 1013681 = 1013920

Showing the first eight; more decompositions exist.

Hex color

#0F78A0

RGB(15, 120, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.160.

Address: 0.15.120.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3920 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3920-10-01 (MMDYYYY (US, single-digit day))
3920-01-10 (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 1,013,920 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 US1,013,920 on Google Patents ↗ Look up on USPTO ↗