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155117520 = 2432517192329
BaseRepresentation
bin10010011111011…
…10011111010000
3101210212210020100
421033232133100
5304202230040
623220412400
73562322445
oct1117563720
9353783210
10155117520
117a6180a8
1243b47100
13261a131c
141685b9cc
15d940b30
hex93ee7d0

155117520 has 480 divisors, whose sum is σ = 626745600. Its totient is φ = 34062336.

The previous prime is 155117519. The next prime is 155117551. The reversal of 155117520 is 25711551.

155117520 is a nontrivial binomial coefficient, being equal to C(30, 15).

It is a super-2 number, since 2×1551175202 = 48122890021900800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5348866 + ... + 5348894.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2155117520 is an apocalyptic number.

155117520 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 155117520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313372800).

155117520 is an abundant number, since it is smaller than the sum of its proper divisors (471628080).

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

155117520 is a wasteful number, since it uses less digits than its factorization.

155117520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The square root of 155117520 is about 12454.6184204896. The cubic root of 155117520 is about 537.3042604377.

The spelling of 155117520 in words is "one hundred fifty-five million, one hundred seventeen thousand, five hundred twenty".