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90604968 = 23317213063
BaseRepresentation
bin1010110011010…
…00010110101000
320022111012122120
411121220112220
5141143324333
612553551240
72150062266
oct531502650
9208435576
1090604968
1147164943
1226415520
1315a0440c
14c067436
157e4adb3
hex56685a8

90604968 has 48 divisors (see below), whose sum is σ = 240638880. Its totient is φ = 28422912.

The previous prime is 90604919. The next prime is 90604993. The reversal of 90604968 is 86940609.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405 + ... + 13467.

It is an arithmetic number, because the mean of its divisors is an integer number (5013310).

Almost surely, 290604968 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 90604968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120319440).

90604968 is an abundant number, since it is smaller than the sum of its proper divisors (150033912).

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

90604968 is a wasteful number, since it uses less digits than its factorization.

90604968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13106 (or 13085 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 90604968 is about 9518.6641919967. The cubic root of 90604968 is about 449.1423466871.

It can be divided in two parts, 9060 and 4968, that added together give a triangular number (14028 = T167).

The spelling of 90604968 in words is "ninety million, six hundred four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 13063 26126 39189 52252 78378 104504 156756 222071 313512 444142 666213 888284 1332426 1776568 2664852 3775207 5329704 7550414 11325621 15100828 22651242 30201656 45302484 90604968