Search a number
-
+
13129056 = 253245587
BaseRepresentation
bin110010000101…
…010101100000
3220201000200100
4302011111200
511330112211
61145222400
7216411063
oct62052540
926630610
1013129056
117458066
124491a00
132948b95
141a5a8da
151245156
hexc85560

13129056 has 36 divisors (see below), whose sum is σ = 37336572. Its totient is φ = 4376256.

The previous prime is 13128991. The next prime is 13129063. The reversal of 13129056 is 65092131.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×131290562 = 344744222902272, which contains 22 as substring.

It is a congruent number.

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, 22506 + ... + 23081.

It is an arithmetic number, because the mean of its divisors is an integer number (1037127).

Almost surely, 213129056 is an apocalyptic number.

13129056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13129056 is an abundant number, since it is smaller than the sum of its proper divisors (24207516).

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

13129056 is a wasteful number, since it uses less digits than its factorization.

13129056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45603 (or 45592 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13129056 is about 3623.4039244887. The cubic root of 13129056 is about 235.9089948838.

The spelling of 13129056 in words is "thirteen million, one hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 45587 91174 136761 182348 273522 364696 410283 547044 729392 820566 1094088 1458784 1641132 2188176 3282264 4376352 6564528 13129056