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152930520 = 233251812347
BaseRepresentation
bin10010001110110…
…00100011011000
3101122202200020100
421013120203120
5303122234040
623101455400
73534613401
oct1107304330
9348680210
10152930520
1179363a66
1243271560
13258b6a42
141644c9a8
15d65cb30
hex91d88d8

152930520 has 96 divisors (see below), whose sum is σ = 499983120. Its totient is φ = 40538880.

The previous prime is 152930513. The next prime is 152930539. The reversal of 152930520 is 25039251.

152930520 is a `hidden beast` number, since 1 + 52 + 93 + 0 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63987 + ... + 66333.

Almost surely, 2152930520 is an apocalyptic number.

152930520 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 152930520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249991560).

152930520 is an abundant number, since it is smaller than the sum of its proper divisors (347052600).

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

152930520 is a wasteful number, since it uses less digits than its factorization.

152930520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 152930520 is about 12366.5079953882. The cubic root of 152930520 is about 534.7671505416.

Adding to 152930520 its reverse (25039251), we get a palindrome (177969771).

The spelling of 152930520 in words is "one hundred fifty-two million, nine hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 181 360 362 543 724 905 1086 1448 1629 1810 2172 2347 2715 3258 3620 4344 4694 5430 6516 7041 7240 8145 9388 10860 11735 13032 14082 16290 18776 21123 21720 23470 28164 32580 35205 42246 46940 56328 65160 70410 84492 93880 105615 140820 168984 211230 281640 422460 424807 844920 849614 1274421 1699228 2124035 2548842 3398456 3823263 4248070 5097684 6372105 7646526 8496140 10195368 12744210 15293052 16992280 19116315 25488420 30586104 38232630 50976840 76465260 152930520