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31328136 = 23327611019
BaseRepresentation
bin111011110000…
…0011110001000
32011221122010100
41313200132020
531010000021
63035245400
7530166450
oct167403610
964848110
1031328136
1116758324
12a5a9860
13664b678
144236d60
152b3c626
hex1de0788

31328136 has 96 divisors (see below), whose sum is σ = 98654400. Its totient is φ = 8795520.

The previous prime is 31328117. The next prime is 31328137. The reversal of 31328136 is 63182313.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (31328137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30235 + ... + 31253.

It is an arithmetic number, because the mean of its divisors is an integer number (1027650).

Almost surely, 231328136 is an apocalyptic number.

31328136 is a gapful number since it is divisible by the number (36) 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 31328136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49327200).

31328136 is an abundant number, since it is smaller than the sum of its proper divisors (67326264).

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

31328136 is a wasteful number, since it uses less digits than its factorization.

31328136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 31328136 is about 5597.1542769518. The cubic root of 31328136 is about 315.2425644890.

The spelling of 31328136 in words is "thirty-one million, three hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 84 122 126 168 183 244 252 366 427 488 504 549 732 854 1019 1098 1281 1464 1708 2038 2196 2562 3057 3416 3843 4076 4392 5124 6114 7133 7686 8152 9171 10248 12228 14266 15372 18342 21399 24456 28532 30744 36684 42798 57064 62159 64197 73368 85596 124318 128394 171192 186477 248636 256788 372954 435113 497272 513576 559431 745908 870226 1118862 1305339 1491816 1740452 2237724 2610678 3480904 3916017 4475448 5221356 7832034 10442712 15664068 31328136