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152320960 = 26511109397
BaseRepresentation
bin10010001010000…
…11101111000000
3101121121201002001
421011003233000
5302443232320
623040433344
73526464301
oct1105035700
9347551061
10152320960
1178a87aa0
1243018854
132573245c
14163307a8
15d58c20a
hex9143bc0

152320960 has 112 divisors (see below), whose sum is σ = 400324320. Its totient is φ = 54743040.

The previous prime is 152320957. The next prime is 152320979. The reversal of 152320960 is 69023251.

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 15 ways as a sum of consecutive naturals, for example, 383482 + ... + 383878.

Almost surely, 2152320960 is an apocalyptic number.

152320960 is a gapful number since it is divisible by the number (10) 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 152320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200162160).

152320960 is an abundant number, since it is smaller than the sum of its proper divisors (248003360).

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

152320960 is a wasteful number, since it uses less digits than its factorization.

152320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 152320960 is about 12341.8377885953. The cubic root of 152320960 is about 534.0557017087.

The spelling of 152320960 in words is "one hundred fifty-two million, three hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 109 110 160 176 218 220 320 352 397 436 440 545 704 794 872 880 1090 1199 1588 1744 1760 1985 2180 2398 3176 3488 3520 3970 4360 4367 4796 5995 6352 6976 7940 8720 8734 9592 11990 12704 15880 17440 17468 19184 21835 23980 25408 31760 34880 34936 38368 43273 43670 47960 63520 69872 76736 86546 87340 95920 127040 139744 173092 174680 191840 216365 279488 346184 349360 383680 432730 476003 692368 698720 865460 952006 1384736 1397440 1730920 1904012 2380015 2769472 3461840 3808024 4760030 6923680 7616048 9520060 13847360 15232096 19040120 30464192 38080240 76160480 152320960