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152472960 = 27325103257
BaseRepresentation
bin10010001011010…
…00110110000000
3101121220102120200
421011220312000
5303013113320
623044005200
73530666403
oct1105506600
9347812520
10152472960
1179081212
1243090800
13257866b3
141636dd3a
15d5bc290
hex9168d80

152472960 has 192 divisors, whose sum is σ = 533688480. Its totient is φ = 40108032.

The previous prime is 152472959. The next prime is 152472961. The reversal of 152472960 is 69274251.

152472960 is a `hidden beast` number, since 1 + 524 + 72 + 9 + 60 = 666.

152472960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152472959) and next prime (152472961).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152472961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593152 + ... + 593408.

Almost surely, 2152472960 is an apocalyptic number.

152472960 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 152472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266844240).

152472960 is an abundant number, since it is smaller than the sum of its proper divisors (381215520).

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

152472960 is a wasteful number, since it uses less digits than its factorization.

152472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 152472960 is about 12347.9941690948. The cubic root of 152472960 is about 534.2332861108.

The spelling of 152472960 in words is "one hundred fifty-two million, four hundred seventy-two thousand, nine hundred sixty".