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152352660 = 22352987559
BaseRepresentation
bin10010001010010…
…11011110010100
3101121200022120010
421011023132110
5303000241120
623041240220
73526655565
oct1105133624
9347608503
10152352660
1178aa9899
1243033070
1325743a05
141633c16c
15d5967e0
hex914b794

152352660 has 48 divisors (see below), whose sum is σ = 441302400. Its totient is φ = 39225984.

The previous prime is 152352653. The next prime is 152352671. The reversal of 152352660 is 66253251.

It is a super-2 number, since 2×1523526602 = 46422666018151200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42040 + ... + 45519.

It is an arithmetic number, because the mean of its divisors is an integer number (9193800).

Almost surely, 2152352660 is an apocalyptic number.

152352660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152352660 is an abundant number, since it is smaller than the sum of its proper divisors (288949740).

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

152352660 is a wasteful number, since it uses less digits than its factorization.

152352660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87600 (or 87598 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 152352660 is about 12343.1219713653. The cubic root of 152352660 is about 534.0927471498.

The spelling of 152352660 in words is "one hundred fifty-two million, three hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 87559 175118 262677 350236 437795 525354 875590 1050708 1313385 1751180 2539211 2626770 5078422 5253540 7617633 10156844 12696055 15235266 25392110 30470532 38088165 50784220 76176330 152352660