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152965460 = 22540119073
BaseRepresentation
bin10010001111000…
…01000101010100
3101122211110011102
421013201011110
5303124343320
623102325232
73535120304
oct1107410524
9348743142
10152965460
117938823a
1243289818
13258c990b
141645b604
15d668175
hex91e1154

152965460 has 24 divisors (see below), whose sum is σ = 322045416. Its totient is φ = 61030400.

The previous prime is 152965429. The next prime is 152965481. The reversal of 152965460 is 64569251.

It can be written as a sum of positive squares in 4 ways, for example, as 15888196 + 137077264 = 3986^2 + 11708^2 .

It is a super-3 number, since 3×1529654603 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1517 + ... + 17556.

It is an arithmetic number, because the mean of its divisors is an integer number (13418559).

Almost surely, 2152965460 is an apocalyptic number.

152965460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152965460 is an abundant number, since it is smaller than the sum of its proper divisors (169079956).

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

152965460 is a wasteful number, since it uses less digits than its factorization.

152965460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19483 (or 19481 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 152965460 is about 12367.9206012975. The cubic root of 152965460 is about 534.8078734822.

The spelling of 152965460 in words is "one hundred fifty-two million, nine hundred sixty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 401 802 1604 2005 4010 8020 19073 38146 76292 95365 190730 381460 7648273 15296546 30593092 38241365 76482730 152965460