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155324064 = 25371811277
BaseRepresentation
bin10010100001000…
…00111010100000
3101211021021120010
421100200322200
5304230332224
623225044520
73564142560
oct1120407240
9354237503
10155324064
117a7492a5
1244026740
132624433c
14168b2da0
15d981e29
hex9420ea0

155324064 has 96 divisors (see below), whose sum is σ = 468913536. Its totient is φ = 44098560.

The previous prime is 155324051. The next prime is 155324101. The reversal of 155324064 is 460423551.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120994 + ... + 122270.

It is an arithmetic number, because the mean of its divisors is an integer number (4884516).

Almost surely, 2155324064 is an apocalyptic number.

155324064 is a gapful number since it is divisible by the number (14) 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 155324064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234456768).

155324064 is an abundant number, since it is smaller than the sum of its proper divisors (313589472).

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

155324064 is a wasteful number, since it uses less digits than its factorization.

155324064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 155324064 is about 12462.9075259347. The cubic root of 155324064 is about 537.5426340078.

The spelling of 155324064 in words is "one hundred fifty-five million, three hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 181 224 336 362 543 672 724 1086 1267 1277 1448 2172 2534 2554 2896 3801 3831 4344 5068 5108 5792 7602 7662 8688 8939 10136 10216 15204 15324 17376 17878 20272 20432 26817 30408 30648 35756 40544 40864 53634 60816 61296 71512 107268 121632 122592 143024 214536 231137 286048 429072 462274 693411 858144 924548 1386822 1617959 1849096 2773644 3235918 3698192 4853877 5547288 6471836 7396384 9707754 11094576 12943672 19415508 22189152 25887344 38831016 51774688 77662032 155324064