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13002372 = 2232715087
BaseRepresentation
bin110001100110…
…011010000100
3220110120220100
4301212122010
511312033442
61142404100
7215342535
oct61463204
926416810
1013002372
117380969
124430630
132903316
141a2668c
15121c84c
hexc66684

13002372 has 36 divisors (see below), whose sum is σ = 33336576. Its totient is φ = 4272240.

The previous prime is 13002323. The next prime is 13002377. The reversal of 13002372 is 27320031.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13002377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 5099.

It is an arithmetic number, because the mean of its divisors is an integer number (926016).

Almost surely, 213002372 is an apocalyptic number.

13002372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668288).

13002372 is an abundant number, since it is smaller than the sum of its proper divisors (20334204).

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

13002372 is a wasteful number, since it uses less digits than its factorization.

13002372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13002372 is about 3605.8801976771. The cubic root of 13002372 is about 235.1477688405.

The spelling of 13002372 in words is "thirteen million, two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 5087 10174 15261 20348 30522 45783 61044 91566 183132 361177 722354 1083531 1444708 2167062 3250593 4334124 6501186 13002372