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13355136 = 273211593
BaseRepresentation
bin110010111100…
…100010000000
3221010111210200
4302330202000
511404331021
61154125200
7221342154
oct62744200
927114720
1013355136
1175a1a03
124580800
1329c7a62
141ab9064
15128c126
hexcbc880

13355136 has 48 divisors (see below), whose sum is σ = 38434110. Its totient is φ = 4451328.

The previous prime is 13355123. The next prime is 13355161. The reversal of 13355136 is 63155331.

It can be written as a sum of positive squares in only one way, i.e., 8156736 + 5198400 = 2856^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4645 + ... + 6948.

Almost surely, 213355136 is an apocalyptic number.

13355136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13355136 is an abundant number, since it is smaller than the sum of its proper divisors (25078974).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13355136 is a wasteful number, since it uses less digits than its factorization.

13355136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11613 (or 11598 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 13355136 is about 3654.4679503315. The cubic root of 13355136 is about 237.2553995121.

The spelling of 13355136 in words is "thirteen million, three hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11593 23186 34779 46372 69558 92744 104337 139116 185488 208674 278232 370976 417348 556464 741952 834696 1112928 1483904 1669392 2225856 3338784 4451712 6677568 13355136