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155904960 = 26351741233
BaseRepresentation
bin10010100101011…
…10101111000000
3101212100210101210
421102232233000
5304402424320
623245330120
73602112261
oct1122565700
9355323353
10155904960
1180005782
1244266940
13263b8873
14169c4968
15da490e0
hex94aebc0

155904960 has 224 divisors, whose sum is σ = 539203392. Its totient is φ = 38010880.

The previous prime is 155904953. The next prime is 155904961. The reversal of 155904960 is 69409551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155904961) by changing a digit.

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, 669004 + ... + 669236.

It is an arithmetic number, because the mean of its divisors is an integer number (2407158).

Almost surely, 2155904960 is an apocalyptic number.

155904960 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 155904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269601696).

155904960 is an abundant number, since it is smaller than the sum of its proper divisors (383298432).

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

155904960 is a wasteful number, since it uses less digits than its factorization.

155904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 155904960 is about 12486.1907722091. The cubic root of 155904960 is about 538.2119183754.

The spelling of 155904960 in words is "one hundred fifty-five million, nine hundred four thousand, nine hundred sixty".