Live analysis

1,013,420

1,013,420 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.).

1,013,420 (one million thirteen thousand four hundred twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,671. Its proper divisors sum to 1,114,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF76AC.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,408 1,013,409 1,013,410 1,013,411 1,013,412 1,013,413 1,013,414 1,013,415 1,013,416 1,013,417 1,013,418 1,013,419 1,013,420 1,013,421 1,013,422 1,013,423 1,013,424 1,013,425 1,013,426 1,013,427 1,013,428 1,013,429 1,013,430 1,013,431 1,013,432

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 243,101
Square (n²): 1,027,020,096,400
Cube (n³): 1,040,802,706,093,688,000
Divisor count: 12
σ(n) — sum of divisors: 2,128,224
φ(n) — Euler's totient: 405,360
Sum of prime factors: 50,680

Primality

Prime factorization: 2 ² × 5 × 50671

Nearest primes: 1,013,401 (−19) · 1,013,429 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50671 · 101342 · 202684 · 253355 · 506710 (half) · 1013420

Aliquot sum (sum of proper divisors): 1,114,804

Factor pairs (a × b = 1,013,420)

1 × 1013420

2 × 506710

4 × 253355

5 × 202684

10 × 101342

20 × 50671

First multiples

1,013,420 · 2,026,840 (double) · 3,040,260 · 4,053,680 · 5,067,100 · 6,080,520 · 7,093,940 · 8,107,360 · 9,120,780 · 10,134,200

Sums & aliquot sequence

As consecutive integers: 202,682 + 202,683 + 202,684 + 202,685 + 202,686 126,674 + 126,675 + … + 126,681 25,316 + 25,317 + … + 25,355

Aliquot sequence: 1,013,420 → 1,114,804 → 836,110 → 820,538 → 425,350 → 387,098 → 193,552 → 181,486 → 93,698 → 59,662 → 33,794 → 17,914 → 11,732 → 11,788 → 11,844 → 23,100 → 60,228 — unresolved within range

Continued fraction of √n

√1,013,420 = [1006; (1, 2, 4, 1, 27, 1, 1, 5, 14, 1, 1, 1, 1, 1, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, …)]

Representations

In words: one million thirteen thousand four hundred twenty
Ordinal: 1013420th
Binary: 11110111011010101100
Octal: 3673254
Hexadecimal: 0xF76AC
Base64: D3as
One's complement: 4,293,953,875 (32-bit)
Scientific notation: 1.01342 × 10⁶
As a duration: 1,013,420 s = 11 days, 17 hours, 30 minutes, 20 seconds

In other bases

ternary (3) 1220111011002

quaternary (4) 3313122230

quinary (5) 224412140

senary (6) 33415432

septenary (7) 11420402

nonary (9) 1814132

undecimal (11) 632441

duodecimal (12) 40a578

tridecimal (13) 296375

tetradecimal (14) 1c5472

pentadecimal (15) 150415

As an angle

1,013,420° = 2,815 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百零一萬三千四百二十
Chinese (financial): 壹佰零壹萬參仟肆佰貳拾

In other modern scripts

Eastern Arabic ١٠١٣٤٢٠ Devanagari १०१३४२० Bengali ১০১৩৪২০ Tamil ௧௦௧௩௪௨௦ Thai ๑๐๑๓๔๒๐ Tibetan ༡༠༡༣༤༢༠ Khmer ១០១៣៤២០ Lao ໑໐໑໓໔໒໐ Burmese ၁၀၁၃၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013420, here are decompositions:

19 + 1013401 = 1013420
43 + 1013377 = 1013420
157 + 1013263 = 1013420
181 + 1013239 = 1013420
193 + 1013227 = 1013420
223 + 1013197 = 1013420
277 + 1013143 = 1013420
367 + 1013053 = 1013420

Showing the first eight; more decompositions exist.

Hex color

#0F76AC

RGB(15, 118, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.172.

Address: 0.15.118.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.172

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3420 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3420-10-01 (MMDYYYY (US, single-digit day))
3420-01-10 (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 1,013,420 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 US1,013,420 on Google Patents ↗ Look up on USPTO ↗