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87138396 = 223317311531
BaseRepresentation
bin1010011000110…
…10000001011100
320001222002102000
411030122001130
5134301412041
612351402300
72105443542
oct514320134
9201862360
1087138396
1145207404
1225223390
131508c5a7
14b803d92
1579b3bb6
hex531a05c

87138396 has 96 divisors (see below), whose sum is σ = 247080960. Its totient is φ = 26438400.

The previous prime is 87138377. The next prime is 87138431. The reversal of 87138396 is 69383178.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56151 + ... + 57681.

It is an arithmetic number, because the mean of its divisors is an integer number (2573760).

Almost surely, 287138396 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 87138396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123540480).

87138396 is an abundant number, since it is smaller than the sum of its proper divisors (159942564).

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

87138396 is a wasteful number, since it uses less digits than its factorization.

87138396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1584 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 87138396 is about 9334.7949093700. The cubic root of 87138396 is about 443.3395952659.

The spelling of 87138396 in words is "eighty-seven million, one hundred thirty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 93 102 108 124 153 186 204 279 306 372 459 527 558 612 837 918 1054 1116 1531 1581 1674 1836 2108 3062 3162 3348 4593 4743 6124 6324 9186 9486 13779 14229 18372 18972 26027 27558 28458 41337 47461 52054 55116 56916 78081 82674 94922 104108 142383 156162 165348 189844 234243 284766 312324 427149 468486 569532 702729 806837 854298 936972 1281447 1405458 1613674 1708596 2420511 2562894 2810916 3227348 4841022 5125788 7261533 9682044 14523066 21784599 29046132 43569198 87138396