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13292964 = 2233123083
BaseRepresentation
bin110010101101…
…010110100100
3221000100112000
4302231112210
511400333324
61152525300
7220662666
oct62552644
927010460
1013292964
11755a223
124550830
1329a5679
141aa0536
1512789c9
hexcad5a4

13292964 has 24 divisors (see below), whose sum is σ = 34463520. Its totient is φ = 4430952.

The previous prime is 13292957. The next prime is 13293019. The reversal of 13292964 is 46929231.

13292964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61434 + ... + 61649.

It is an arithmetic number, because the mean of its divisors is an integer number (1435980).

Almost surely, 213292964 is an apocalyptic number.

It is an amenable number.

13292964 is an abundant number, since it is smaller than the sum of its proper divisors (21170556).

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

13292964 is a wasteful number, since it uses less digits than its factorization.

13292964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123096 (or 123088 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 13292964 is about 3645.9517276015. The cubic root of 13292964 is about 236.8866626812.

It can be divided in two parts, 132 and 92964, that added together give a triangular number (93096 = T431).

The spelling of 13292964 in words is "thirteen million, two hundred ninety-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 123083 246166 369249 492332 738498 1107747 1476996 2215494 3323241 4430988 6646482 13292964