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155080800 = 253252717181
BaseRepresentation
bin10010011111001…
…01100001100000
3101210210220212100
421033211201200
5304200041200
623215530400
73562110420
oct1117454140
9353726770
10155080800
117a5a2556
1243b29a00
132618a6b4
141684c480
15d934d00
hex93e5860

155080800 has 432 divisors, whose sum is σ = 665394912. Its totient is φ = 33177600.

The previous prime is 155080781. The next prime is 155080811. The reversal of 155080800 is 8080551.

155080800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856710 + ... + 856890.

It is an arithmetic number, because the mean of its divisors is an integer number (1540266).

Almost surely, 2155080800 is an apocalyptic number.

155080800 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 155080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332697456).

155080800 is an abundant number, since it is smaller than the sum of its proper divisors (510314112).

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

155080800 is a wasteful number, since it uses less digits than its factorization.

155080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 155080800 is about 12453.1441812901. The cubic root of 155080800 is about 537.2618595331.

The spelling of 155080800 in words is "one hundred fifty-five million, eighty thousand, eight hundred".