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133230864 = 24313892399
BaseRepresentation
bin1111111000011…
…11000100010000
3100021200211101110
413330033010100
5233101341424
621115333320
73205305114
oct774170420
9307624343
10133230864
1169229358
1238751240
13217aa240
14139a1744
15ba6ac29
hex7f0f110

133230864 has 80 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 40516608.

The previous prime is 133230863. The next prime is 133230919. The reversal of 133230864 is 468032331.

It is not an unprimeable number, because it can be changed into a prime (133230863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54337 + ... + 56735.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2133230864 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 133230864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

133230864 is an abundant number, since it is smaller than the sum of its proper divisors (241745136).

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

133230864 is a wasteful number, since it uses less digits than its factorization.

133230864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 133230864 is about 11542.5674786851. The cubic root of 133230864 is about 510.7420493610.

The spelling of 133230864 in words is "one hundred thirty-three million, two hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 1068 1157 1424 2136 2314 2399 3471 4272 4628 4798 6942 7197 9256 9596 13884 14394 18512 19192 27768 28788 31187 38384 55536 57576 62374 93561 115152 124748 187122 213511 249496 374244 427022 498992 640533 748488 854044 1281066 1496976 1708088 2562132 2775643 3416176 5124264 5551286 8326929 10248528 11102572 16653858 22205144 33307716 44410288 66615432 133230864