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155913920 = 265975023
BaseRepresentation
bin10010100101100…
…00111011000000
3101212101020200122
421102300323000
5304403221140
623245435412
73602150351
oct1122607300
9355336618
10155913920
1180011488
124426bb68
13263bc976
14169c7d28
15da4bab5
hex94b0ec0

155913920 has 56 divisors (see below), whose sum is σ = 375172224. Its totient is φ = 61710336.

The previous prime is 155913917. The next prime is 155913949. The reversal of 155913920 is 29319551.

155913920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 28529 + ... + 33551.

It is an arithmetic number, because the mean of its divisors is an integer number (6699504).

Almost surely, 2155913920 is an apocalyptic number.

155913920 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 155913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187586112).

155913920 is an abundant number, since it is smaller than the sum of its proper divisors (219258304).

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

155913920 is an equidigital number, since it uses as much as digits as its factorization.

155913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 35.

The square root of 155913920 is about 12486.5495634302. The cubic root of 155913920 is about 538.2222286875. Note that the first 5 decimals are identical.

The spelling of 155913920 in words is "one hundred fifty-five million, nine hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 485 776 970 1552 1940 3104 3880 5023 6208 7760 10046 15520 20092 25115 31040 40184 50230 80368 100460 160736 200920 321472 401840 487231 803680 974462 1607360 1948924 2436155 3897848 4872310 7795696 9744620 15591392 19489240 31182784 38978480 77956960 155913920