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152465520 = 24351737369
BaseRepresentation
bin10010001011001…
…11000001110000
3101121220001101010
421011213001300
5303012344040
623043510520
73530635614
oct1105470160
9347801333
10152465520
1179076669
1243088440
13257831ac
141636b344
15d5b9e80
hex9167070

152465520 has 80 divisors (see below), whose sum is σ = 500459040. Its totient is φ = 38264832.

The previous prime is 152465513. The next prime is 152465549. The reversal of 152465520 is 25564251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14605 + ... + 22764.

It is an arithmetic number, because the mean of its divisors is an integer number (6255738).

Almost surely, 2152465520 is an apocalyptic number.

152465520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152465520 is an abundant number, since it is smaller than the sum of its proper divisors (347993520).

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

152465520 is a wasteful number, since it uses less digits than its factorization.

152465520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37402 (or 37396 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 152465520 is about 12347.6929019149. The cubic root of 152465520 is about 534.2245965694.

The spelling of 152465520 in words is "one hundred fifty-two million, four hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 37369 74738 112107 149476 186845 224214 298952 373690 448428 560535 597904 635273 747380 896856 1121070 1270546 1494760 1793712 1905819 2242140 2541092 2989520 3176365 3811638 4484280 5082184 6352730 7623276 8968560 9529095 10164368 12705460 15246552 19058190 25410920 30493104 38116380 50821840 76232760 152465520