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151030264 = 23711231719
BaseRepresentation
bin10010000000010…
…00100111111000
3101112012010120111
421000020213320
5302130432024
622553034104
73512510320
oct1100104770
9345163514
10151030264
1178286300
12426b5934
132539cb28
14160b6280
15d3d4a94
hex90089f8

151030264 has 96 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 56865600.

The previous prime is 151030219. The next prime is 151030267. The reversal of 151030264 is 462030151.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151030267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209697 + ... + 210415.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2151030264 is an apocalyptic number.

151030264 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 151030264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

151030264 is an abundant number, since it is smaller than the sum of its proper divisors (216688136).

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

151030264 is a wasteful number, since it uses less digits than its factorization.

151030264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 151030264 is about 12289.4370904448. The cubic root of 151030264 is about 532.5429755113.

The spelling of 151030264 in words is "one hundred fifty-one million, thirty thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 121 124 154 217 242 248 308 341 434 484 616 682 719 847 868 968 1364 1438 1694 1736 2387 2728 2876 3388 3751 4774 5033 5752 6776 7502 7909 9548 10066 15004 15818 19096 20132 22289 26257 30008 31636 40264 44578 52514 55363 63272 86999 89156 105028 110726 156023 173998 178312 210056 221452 245179 312046 347996 442904 490358 608993 624092 695992 980716 1217986 1248184 1716253 1961432 2435972 2696969 3432506 4871944 5393938 6865012 10787876 13730024 18878783 21575752 37757566 75515132 151030264