Live analysis

1,013,980

1,013,980 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.).

1,013,980 (one million thirteen thousand nine hundred eighty) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 5 × 11² × 419. Its proper divisors sum to 1,332,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF78DC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,013,968 1,013,969 1,013,970 1,013,971 1,013,972 1,013,973 1,013,974 1,013,975 1,013,976 1,013,977 1,013,978 1,013,979 1,013,980 1,013,981 1,013,982 1,013,983 1,013,984 1,013,985 1,013,986 1,013,987 1,013,988 1,013,989 1,013,990 1,013,991 1,013,992

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 893,101
Square (n²): 1,028,155,440,400
Cube (n³): 1,042,529,053,456,792,000
Divisor count: 36
σ(n) — sum of divisors: 2,346,120
φ(n) — Euler's totient: 367,840
Sum of prime factors: 450

Primality

Prime factorization: 2 ² × 5 × 11 ² × 419

Nearest primes: 1,013,933 (−47) · 1,013,993 (+13)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 44 · 55 · 110 · 121 · 220 · 242 · 419 · 484 · 605 · 838 · 1210 · 1676 · 2095 · 2420 · 4190 · 4609 · 8380 · 9218 · 18436 · 23045 · 46090 · 50699 · 92180 · 101398 · 202796 · 253495 · 506990 (half) · 1013980

Aliquot sum (sum of proper divisors): 1,332,140

Factor pairs (a × b = 1,013,980)

1 × 1013980

2 × 506990

4 × 253495

5 × 202796

10 × 101398

11 × 92180

20 × 50699

22 × 46090

44 × 23045

55 × 18436

110 × 9218

121 × 8380

220 × 4609

242 × 4190

419 × 2420

484 × 2095

605 × 1676

838 × 1210

First multiples

1,013,980 · 2,027,960 (double) · 3,041,940 · 4,055,920 · 5,069,900 · 6,083,880 · 7,097,860 · 8,111,840 · 9,125,820 · 10,139,800

Sums & aliquot sequence

As consecutive integers: 202,794 + 202,795 + 202,796 + 202,797 + 202,798 126,744 + 126,745 + … + 126,751 92,175 + 92,176 + … + 92,185 25,330 + 25,331 + … + 25,369

Aliquot sequence: 1,013,980 → 1,332,140 → 1,532,260 → 1,826,396 → 2,087,332 → 1,888,724 → 1,439,776 → 1,613,708 → 1,536,292 → 1,165,148 → 873,868 → 777,236 → 582,934 → 370,994 → 260,686 → 130,346 → 65,176 — unresolved within range

Continued fraction of √n

√1,013,980 = [1006; (1, 28, 5, 3, 9, 4, 3, 4, 3, 1, 6, 1, 2, 100, 2, 1, 6, 1, 3, 4, 3, 4, 9, 3, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand nine hundred eighty
Ordinal: 1013980th
Binary: 11110111100011011100
Octal: 3674334
Hexadecimal: 0xF78DC
Base64: D3jc
One's complement: 4,293,953,315 (32-bit)
Scientific notation: 1.01398 × 10⁶
As a duration: 1,013,980 s = 11 days, 17 hours, 39 minutes, 40 seconds

In other bases

ternary (3) 1220111220211

quaternary (4) 3313203130

quinary (5) 224421410

senary (6) 33422204

septenary (7) 11422132

nonary (9) 1814824

undecimal (11) 632900

duodecimal (12) 40a964

tridecimal (13) 2966b6

tetradecimal (14) 1c5752

pentadecimal (15) 15068a

As an angle

1,013,980° = 2,816 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百零一萬三千九百八十
Chinese (financial): 壹佰零壹萬參仟玖佰捌拾

In other modern scripts

Eastern Arabic ١٠١٣٩٨٠ Devanagari १०१३९८० Bengali ১০১৩৯৮০ Tamil ௧௦௧௩௯௮௦ Thai ๑๐๑๓๙๘๐ Tibetan ༡༠༡༣༩༨༠ Khmer ១០១៣៩៨០ Lao ໑໐໑໓໙໘໐ Burmese ၁၀၁၃၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013980, here are decompositions:

47 + 1013933 = 1013980
59 + 1013921 = 1013980
89 + 1013891 = 1013980
101 + 1013879 = 1013980
137 + 1013843 = 1013980
167 + 1013813 = 1013980
239 + 1013741 = 1013980
251 + 1013729 = 1013980

Showing the first eight; more decompositions exist.

Hex color

#0F78DC

RGB(15, 120, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.220.

Address: 0.15.120.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.220

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3980 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3980-10-01 (MMDYYYY (US, single-digit day))
3980-01-10 (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 1,013,980 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 US1,013,980 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1013980 first appears in π at position 322,533 of the decimal expansion (the 322,533ordinal-suffix:rd 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 1013980 on Pi Search ↗