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155904480 = 25335151239
BaseRepresentation
bin10010100101011…
…10100111100000
3101212100202202000
421102232213200
5304402420410
623245324000
73602111004
oct1122564740
9355322660
10155904480
1180005386
1244266600
13263b8594
14169c4704
15da48dc0
hex94ae9e0

155904480 has 192 divisors, whose sum is σ = 551577600. Its totient is φ = 41126400.

The previous prime is 155904479. The next prime is 155904521. The reversal of 155904480 is 84409551.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652201 + ... + 652439.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2155904480 is an apocalyptic number.

155904480 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 155904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

155904480 is an abundant number, since it is smaller than the sum of its proper divisors (395673120).

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

155904480 is a wasteful number, since it uses less digits than its factorization.

155904480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 155904480 is about 12486.1715509599. The cubic root of 155904480 is about 538.2113660261.

The spelling of 155904480 in words is "one hundred fifty-five million, nine hundred four thousand, four hundred eighty".