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152119520 = 2557219403
BaseRepresentation
bin10010001000100…
…10100011100000
3101121020110202022
421010102203200
5302420311040
623032241012
73524665100
oct1104224340
9347213668
10152119520
117895a713
1242b40168
1325691867
14162bb200
15d54c6b5
hex91128e0

152119520 has 72 divisors (see below), whose sum is σ = 418078584. Its totient is φ = 52152576.

The previous prime is 152119489. The next prime is 152119537. The reversal of 152119520 is 25911251.

152119520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152119520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1862 + ... + 17541.

It is an arithmetic number, because the mean of its divisors is an integer number (5806647).

Almost surely, 2152119520 is an apocalyptic number.

152119520 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 152119520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209039292).

152119520 is an abundant number, since it is smaller than the sum of its proper divisors (265959064).

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

152119520 is a wasteful number, since it uses less digits than its factorization.

152119520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19432 (or 19417 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 152119520 is about 12333.6742295230. The cubic root of 152119520 is about 533.8201735203.

It can be divided in two parts, 1521195 and 20, that multiplied together give a triangular number (30423900 = T7800).

The spelling of 152119520 in words is "one hundred fifty-two million, one hundred nineteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 19403 38806 77612 97015 135821 155224 194030 271642 310448 388060 543284 620896 679105 776120 950747 1086568 1358210 1552240 1901494 2173136 2716420 3104480 3802988 4346272 4753735 5432840 7605976 9507470 10865680 15211952 19014940 21731360 30423904 38029880 76059760 152119520