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13375164 = 22311195333
BaseRepresentation
bin110011000001…
…011010111100
3221011112021110
4303001122330
511411001124
61154402020
7221454435
oct63013274
927145243
1013375164
117605a60
124590310
132a03bca
141ac248c
151293029
hexcc16bc

13375164 has 48 divisors (see below), whose sum is σ = 35844480. Its totient is φ = 3839040.

The previous prime is 13375147. The next prime is 13375169. The reversal of 13375164 is 46157331.

13375164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13375169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159 + ... + 5174.

It is an arithmetic number, because the mean of its divisors is an integer number (746760).

Almost surely, 213375164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13375164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922240).

13375164 is an abundant number, since it is smaller than the sum of its proper divisors (22469316).

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

13375164 is a wasteful number, since it uses less digits than its factorization.

13375164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5370 (or 5368 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 13375164 is about 3657.2071311316. The cubic root of 13375164 is about 237.3739401195.

The spelling of 13375164 in words is "thirteen million, three hundred seventy-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 5333 10666 15999 21332 31998 58663 63996 101327 117326 175989 202654 234652 303981 351978 405308 607962 703956 1114597 1215924 2229194 3343791 4458388 6687582 13375164