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13137372 = 2232734999
BaseRepresentation
bin110010000111…
…010111011100
3220201110002100
4302013113130
511330343442
61145325100
7216444243
oct62072734
926643070
1013137372
117463336
124496790
13294c8c1
141a5d95a
15124784c
hexc875dc

13137372 has 36 divisors (see below), whose sum is σ = 33670000. Its totient is φ = 4318272.

The previous prime is 13137367. The next prime is 13137401. The reversal of 13137372 is 27373131.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129 + ... + 5127.

Almost surely, 213137372 is an apocalyptic number.

13137372 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 13137372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16835000).

13137372 is an abundant number, since it is smaller than the sum of its proper divisors (20532628).

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

13137372 is a wasteful number, since it uses less digits than its factorization.

13137372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5077 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 13137372 is about 3624.5512825728. The cubic root of 13137372 is about 235.9587929586.

The spelling of 13137372 in words is "thirteen million, one hundred thirty-seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 4999 9998 14997 19996 29994 44991 59988 89982 179964 364927 729854 1094781 1459708 2189562 3284343 4379124 6568686 13137372