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152516640 = 2535317743
BaseRepresentation
bin10010001011100…
…11100000100000
3101121222122111110
421011303200200
5303021013030
623044543320
73531240633
oct1105634040
9347878443
10152516640
1179101011
12430b1b40
13257a0543
1416381c1a
15d5ca1b0
hex9173820

152516640 has 48 divisors (see below), whose sum is σ = 480428928. Its totient is φ = 40670976.

The previous prime is 152516633. The next prime is 152516647. The reversal of 152516640 is 46615251.

It is an interprime number because it is at equal distance from previous prime (152516633) and next prime (152516647).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1525166402 = 46522650953779200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 152516598 and 152516607.

It is not an unprimeable number, because it can be changed into a prime (152516647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158392 + ... + 159351.

It is an arithmetic number, because the mean of its divisors is an integer number (10008936).

Almost surely, 2152516640 is an apocalyptic number.

152516640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152516640 is an abundant number, since it is smaller than the sum of its proper divisors (327912288).

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

152516640 is a wasteful number, since it uses less digits than its factorization.

152516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317761 (or 317753 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 152516640 is about 12349.7627507576. The cubic root of 152516640 is about 534.2842964275.

The spelling of 152516640 in words is "one hundred fifty-two million, five hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 317743 635486 953229 1270972 1588715 1906458 2541944 3177430 3812916 4766145 5083888 6354860 7625832 9532290 10167776 12709720 15251664 19064580 25419440 30503328 38129160 50838880 76258320 152516640