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152131410 = 23251690349
BaseRepresentation
bin10010001000101…
…01011101010010
3101121021002001200
421010111131102
5302421201120
623032412030
73525044544
oct1104253522
9347232050
10152131410
1178968642
1242b47016
13256970b2
14162c1694
15d550e90
hex9115752

152131410 has 24 divisors (see below), whose sum is σ = 395541900. Its totient is φ = 40568352.

The previous prime is 152131403. The next prime is 152131411. The reversal of 152131410 is 14131251.

152131410 is a `hidden beast` number, since 1 + 521 + 3 + 141 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146385801 + 5745609 = 12099^2 + 2397^2 .

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

It is not an unprimeable number, because it can be changed into a prime (152131411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 845085 + ... + 845264.

Almost surely, 2152131410 is an apocalyptic number.

152131410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152131410 is an abundant number, since it is smaller than the sum of its proper divisors (243410490).

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

152131410 is a wasteful number, since it uses less digits than its factorization.

152131410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690362 (or 1690359 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 152131410 is about 12334.1562338086. The cubic root of 152131410 is about 533.8340813486.

Adding to 152131410 its reverse (14131251), we get a palindrome (166262661).

The spelling of 152131410 in words is "one hundred fifty-two million, one hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1690349 3380698 5071047 8451745 10142094 15213141 16903490 25355235 30426282 50710470 76065705 152131410