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152815740 = 223571123197
BaseRepresentation
bin10010001101111…
…00100001111100
3101122112211210020
421012330201330
5303110100430
623055212140
73533624640
oct1106744174
9348484706
10152815740
1179295800
1243217050
132587671c
141641cc20
15d638b10
hex91bc87c

152815740 has 288 divisors, whose sum is σ = 560566272. Its totient is φ = 30412800.

The previous prime is 152815739. The next prime is 152815757. The reversal of 152815740 is 47518251.

152815740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1575372 + ... + 1575468.

Almost surely, 2152815740 is an apocalyptic number.

152815740 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 152815740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280283136).

152815740 is an abundant number, since it is smaller than the sum of its proper divisors (407750532).

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

152815740 is a wasteful number, since it uses less digits than its factorization.

152815740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 152815740 is about 12361.8663639436. The cubic root of 152815740 is about 534.6333295619.

The spelling of 152815740 in words is "one hundred fifty-two million, eight hundred fifteen thousand, seven hundred forty".