Live analysis

1,016,320

1,016,320 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.).

1,016,320 (one million sixteen thousand three hundred twenty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 5 × 397. Its proper divisors sum to 1,426,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8200.

Abundant Number Evil Number Frugal Number Gapful Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,016,308 1,016,309 1,016,310 1,016,311 1,016,312 1,016,313 1,016,314 1,016,315 1,016,316 1,016,317 1,016,318 1,016,319 1,016,320 1,016,321 1,016,322 1,016,323 1,016,324 1,016,325 1,016,326 1,016,327 1,016,328 1,016,329 1,016,330 1,016,331 1,016,332

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 236,101
Square (n²): 1,032,906,342,400
Cube (n³): 1,049,763,373,907,968,000
Divisor count: 40
σ(n) — sum of divisors: 2,442,924
φ(n) — Euler's totient: 405,504
Sum of prime factors: 420

Primality

Prime factorization: 2 ⁹ × 5 × 397

Nearest primes: 1,016,303 (−17) · 1,016,339 (+19)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 128 · 160 · 256 · 320 · 397 · 512 · 640 · 794 · 1280 · 1588 · 1985 · 2560 · 3176 · 3970 · 6352 · 7940 · 12704 · 15880 · 25408 · 31760 · 50816 · 63520 · 101632 · 127040 · 203264 · 254080 · 508160 (half) · 1016320

Aliquot sum (sum of proper divisors): 1,426,604

Factor pairs (a × b = 1,016,320)

1 × 1016320

2 × 508160

4 × 254080

5 × 203264

8 × 127040

10 × 101632

16 × 63520

20 × 50816

32 × 31760

40 × 25408

64 × 15880

80 × 12704

128 × 7940

160 × 6352

256 × 3970

320 × 3176

397 × 2560

512 × 1985

640 × 1588

794 × 1280

First multiples

1,016,320 · 2,032,640 (double) · 3,048,960 · 4,065,280 · 5,081,600 · 6,097,920 · 7,114,240 · 8,130,560 · 9,146,880 · 10,163,200

Sums & aliquot sequence

As a sum of two squares: 16² + 1,008² = 592² + 816²

As consecutive integers: 203,262 + 203,263 + 203,264 + 203,265 + 203,266 2,362 + 2,363 + … + 2,758 481 + 482 + … + 1,504

Aliquot sequence: 1,016,320 → 1,426,604 → 1,100,620 → 1,235,924 → 937,324 → 703,000 → 1,075,400 → 1,565,800 → 2,075,150 → 2,872,450 → 3,466,430 → 3,340,594 → 1,733,966 → 1,232,578 → 616,292 → 462,226 → 234,734 — unresolved within range

Continued fraction of √n

√1,016,320 = [1008; (7, 1, 7, 31, 2, 1, 1, 1, 7, 3, 1, 125, 3, 1, 7, 7, 1, 30, 1, 1, 1, 2, 7, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand three hundred twenty
Ordinal: 1016320th
Binary: 11111000001000000000
Octal: 3701000
Hexadecimal: 0xF8200
Base64: D4IA
One's complement: 4,293,950,975 (32-bit)
Scientific notation: 1.01632 × 10⁶
As a duration: 1,016,320 s = 11 days, 18 hours, 18 minutes, 40 seconds

In other bases

ternary (3) 1220122010111

quaternary (4) 3320020000

quinary (5) 230010240

senary (6) 33441104

septenary (7) 11432014

nonary (9) 1818114

undecimal (11) 634638

duodecimal (12) 410194

tridecimal (13) 297796

tetradecimal (14) 1c6544

pentadecimal (15) 1511ea

As an angle

1,016,320° = 2,823 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Chinese: 一百零一萬六千三百二十
Chinese (financial): 壹佰零壹萬陸仟參佰貳拾

In other modern scripts

Eastern Arabic ١٠١٦٣٢٠ Devanagari १०१६३२० Bengali ১০১৬৩২০ Tamil ௧௦௧௬௩௨௦ Thai ๑๐๑๖๓๒๐ Tibetan ༡༠༡༦༣༢༠ Khmer ១០១៦៣២០ Lao ໑໐໑໖໓໒໐ Burmese ၁၀၁၆၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016320, here are decompositions:

17 + 1016303 = 1016320
83 + 1016237 = 1016320
89 + 1016231 = 1016320
167 + 1016153 = 1016320
197 + 1016123 = 1016320
251 + 1016069 = 1016320
269 + 1016051 = 1016320
293 + 1016027 = 1016320

Showing the first eight; more decompositions exist.

Hex color

#0F8200

RGB(15, 130, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.130.0.

Address: 0.15.130.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.130.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 6320 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6320-10-01 (MMDYYYY (US, single-digit day))
6320-01-10 (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 1,016,320 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 US1,016,320 on Google Patents ↗ Look up on USPTO ↗