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116,402

116,402 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.).

116,402 (one hundred sixteen thousand four hundred two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 11² × 13 × 37. Written other ways, in hexadecimal, 0x1C6B2.

Cube-Free Deficient Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
204,611
Square (n²)
13,549,425,604
Cube (n³)
1,577,180,239,156,808
Divisor count
24
σ(n) — sum of divisors
212,268
φ(n) — Euler's totient
47,520
Sum of prime factors
74

Primality

Prime factorization: 2 × 11 2 × 13 × 37

Nearest primes: 116,387 (−15) · 116,411 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 11 · 13 · 22 · 26 · 37 · 74 · 121 · 143 · 242 · 286 · 407 · 481 · 814 · 962 · 1573 · 3146 · 4477 · 5291 · 8954 · 10582 · 58201 (half) · 116402
Aliquot sum (sum of proper divisors): 95,866
Factor pairs (a × b = 116,402)
1 × 116402
2 × 58201
11 × 10582
13 × 8954
22 × 5291
26 × 4477
37 × 3146
74 × 1573
121 × 962
143 × 814
242 × 481
286 × 407
First multiples
116,402 · 232,804 (double) · 349,206 · 465,608 · 582,010 · 698,412 · 814,814 · 931,216 · 1,047,618 · 1,164,020

Sums & aliquot sequence

As a sum of two squares: 11² + 341² = 121² + 319²
As consecutive integers: 29,099 + 29,100 + 29,101 + 29,102 10,577 + 10,578 + … + 10,587 8,948 + 8,949 + … + 8,960 3,128 + 3,129 + … + 3,164
Aliquot sequence: 116,402 95,866 47,936 61,792 59,924 46,924 35,200 59,660 73,060 92,756 69,574 37,346 19,678 9,842 8,398 6,722 3,364 — unresolved within range

Continued fraction of √n

√116,402 = [341; (5, 1, 1, 1, 3, 5, 2, 1, 2, 1, 4, 1, 10, 5, 1, 1, 4, 1, 4, 1, 4, 1, 1, 5, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred sixteen thousand four hundred two
Ordinal
116402nd
Binary
11100011010110010
Octal
343262
Hexadecimal
0x1C6B2
Base64
Acay
One's complement
4,294,850,893 (32-bit)
Scientific notation
1.16402 × 10⁵
As a duration
116,402 s = 1 day, 8 hours, 20 minutes, 2 seconds
In other bases
ternary (3) 12220200012
quaternary (4) 130122302
quinary (5) 12211102
senary (6) 2254522
septenary (7) 663236
nonary (9) 186605
undecimal (11) 7a500
duodecimal (12) 57442
tridecimal (13) 40ca0
tetradecimal (14) 305c6
pentadecimal (15) 24752
Palindromic in base 6

As an angle

116,402° = 323 × 360° + 122°
122° ≈ 2.129 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ριϛυβʹ
Mayan (base 20)
𝋮·𝋫·𝋠·𝋢
Chinese
一十一萬六千四百零二
Chinese (financial)
壹拾壹萬陸仟肆佰零貳
In other modern scripts
Eastern Arabic ١١٦٤٠٢ Devanagari ११६४०२ Bengali ১১৬৪০২ Tamil ௧௧௬௪௦௨ Thai ๑๑๖๔๐๒ Tibetan ༡༡༦༤༠༢ Khmer ១១៦៤០២ Lao ໑໑໖໔໐໒ Burmese ၁၁၆၄၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116402, here are decompositions:

  • 31 + 116371 = 116402
  • 43 + 116359 = 116402
  • 61 + 116341 = 116402
  • 73 + 116329 = 116402
  • 109 + 116293 = 116402
  • 163 + 116239 = 116402
  • 211 + 116191 = 116402
  • 271 + 116131 = 116402

Showing the first eight; more decompositions exist.

Hex color
#01C6B2
RGB(1, 198, 178)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.198.178.

Address
0.1.198.178
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.198.178

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

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 116,402 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 116402 first appears in π at position 351,118 of the decimal expansion (the 351,118ordinal-suffix:th 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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.