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135,616

135,616 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.).

135,616 (one hundred thirty-five thousand six hundred sixteen) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 13 × 163. Its proper divisors sum to 155,976, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x211C0.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
540
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
616,531
Square (n²)
18,391,699,456
Cube (n³)
2,494,208,713,424,896
Divisor count
28
σ(n) — sum of divisors
291,592
φ(n) — Euler's totient
62,208
Sum of prime factors
188

Primality

Prime factorization: 2 6 × 13 × 163

Nearest primes: 135,613 (−3) · 135,617 (+1)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 64 · 104 · 163 · 208 · 326 · 416 · 652 · 832 · 1304 · 2119 · 2608 · 4238 · 5216 · 8476 · 10432 · 16952 · 33904 · 67808 (half) · 135616
Aliquot sum (sum of proper divisors): 155,976
Factor pairs (a × b = 135,616)
1 × 135616
2 × 67808
4 × 33904
8 × 16952
13 × 10432
16 × 8476
26 × 5216
32 × 4238
52 × 2608
64 × 2119
104 × 1304
163 × 832
208 × 652
326 × 416
First multiples
135,616 · 271,232 (double) · 406,848 · 542,464 · 678,080 · 813,696 · 949,312 · 1,084,928 · 1,220,544 · 1,356,160

Sums & aliquot sequence

As consecutive integers: 10,426 + 10,427 + … + 10,438 996 + 997 + … + 1,123 751 + 752 + … + 913
Aliquot sequence: 135,616 155,976 243,864 434,136 651,264 1,117,992 1,754,808 3,550,152 5,495,928 9,019,272 14,481,528 22,607,832 38,260,248 65,325,072 108,358,256 101,585,896 89,156,504 — unresolved within range

Continued fraction of √n

√135,616 = [368; (3, 1, 5, 20, 3, 1, 1, 28, 1, 8, 7, 1, 8, 2, 4, 6, 3, 2, 1, 1, 14, 1, 3, 11, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand six hundred sixteen
Ordinal
135616th
Binary
100001000111000000
Octal
410700
Hexadecimal
0x211C0
Base64
AhHA
One's complement
4,294,831,679 (32-bit)
Scientific notation
1.35616 × 10⁵
As a duration
135,616 s = 1 day, 13 hours, 40 minutes, 16 seconds
In other bases
ternary (3) 20220000211
quaternary (4) 201013000
quinary (5) 13314431
senary (6) 2523504
septenary (7) 1103245
nonary (9) 226024
undecimal (11) 92988
duodecimal (12) 66594
tridecimal (13) 49960
tetradecimal (14) 375cc
pentadecimal (15) 2a2b1

As an angle

135,616° = 376 × 360° + 256°
256° ≈ 4.468 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεχιϛʹ
Mayan (base 20)
𝋰·𝋳·𝋠·𝋰
Chinese
一十三萬五千六百一十六
Chinese (financial)
壹拾參萬伍仟陸佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٥٦١٦ Devanagari १३५६१६ Bengali ১৩৫৬১৬ Tamil ௧௩௫௬௧௬ Thai ๑๓๕๖๑๖ Tibetan ༡༣༥༦༡༦ Khmer ១៣៥៦១៦ Lao ໑໓໕໖໑໖ Burmese ၁၃၅၆၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135616, here are decompositions:

  • 3 + 135613 = 135616
  • 17 + 135599 = 135616
  • 23 + 135593 = 135616
  • 83 + 135533 = 135616
  • 137 + 135479 = 135616
  • 149 + 135467 = 135616
  • 167 + 135449 = 135616
  • 227 + 135389 = 135616

Showing the first eight; more decompositions exist.

Unicode codepoint
𡇀
CJK Unified Ideograph-211C0
U+211C0
Other letter (Lo)

UTF-8 encoding: F0 A1 87 80 (4 bytes).

Hex color
#0211C0
RGB(2, 17, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.192.

Address
0.2.17.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.192

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 135,616 and was likely granted around 1872.

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

Position in π

The digit sequence 135616 first appears in π at position 758,325 of the decimal expansion (the 758,325ordinal-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