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155364960 = 2535674831
BaseRepresentation
bin10010100001010…
…10111001100000
3101211100100122210
421100222321200
5304233134320
623230002120
73564403032
oct1120527140
9354310583
10155364960
117a776aa3
1244046340
1326259b3a
14168c3c52
15d98e0e0
hex942ae60

155364960 has 96 divisors (see below), whose sum is σ = 496806912. Its totient is φ = 40803840.

The previous prime is 155364947. The next prime is 155364971. The reversal of 155364960 is 69463551.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 29745 + ... + 34575.

It is an arithmetic number, because the mean of its divisors is an integer number (5175072).

Almost surely, 2155364960 is an apocalyptic number.

155364960 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 155364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248403456).

155364960 is an abundant number, since it is smaller than the sum of its proper divisors (341441952).

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

155364960 is a wasteful number, since it uses less digits than its factorization.

155364960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 155364960 is about 12464.5481265869. The cubic root of 155364960 is about 537.5898072401.

The spelling of 155364960 in words is "one hundred fifty-five million, three hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 804 1005 1072 1340 1608 2010 2144 2680 3216 4020 4831 5360 6432 8040 9662 10720 14493 16080 19324 24155 28986 32160 38648 48310 57972 72465 77296 96620 115944 144930 154592 193240 231888 289860 323677 386480 463776 579720 647354 772960 971031 1159440 1294708 1618385 1942062 2318880 2589416 3236770 3884124 4855155 5178832 6473540 7768248 9710310 10357664 12947080 15536496 19420620 25894160 31072992 38841240 51788320 77682480 155364960