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152060040 = 2332511194347
BaseRepresentation
bin10010001000001…
…00000010001000
3101121010110011100
421010010002020
5302411410130
623031101400
73524326506
oct1104040210
9347113140
10152060040
1178919a60
1242b11860
1325670772
14162a3676
15d539c60
hex9104088

152060040 has 384 divisors, whose sum is σ = 593049600. Its totient is φ = 33384960.

The previous prime is 152060011. The next prime is 152060057. The reversal of 152060040 is 40060251.

It is a happy number.

152060040 is a `hidden beast` number, since 1 + 5 + 20 + 600 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 152059995 and 152060022.

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, 3235297 + ... + 3235343.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 2152060040 is an apocalyptic number.

152060040 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 152060040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296524800).

152060040 is an abundant number, since it is smaller than the sum of its proper divisors (440989560).

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

152060040 is a wasteful number, since it uses less digits than its factorization.

152060040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 152060040 is about 12331.2627090659. The cubic root of 152060040 is about 533.7505884046.

The spelling of 152060040 in words is "one hundred fifty-two million, sixty thousand, forty".