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712420137 = 331113184517
BaseRepresentation
bin101010011101101…
…010101100101001
31211122112200201000
4222131222230221
52424334421022
6154405345213
723440320432
oct5235525451
91748480630
10712420137
11336162880
1217a708209
13b479a6a0
146a88c489
15428276ac
hex2a76ab29

712420137 has 32 divisors (see below), whose sum is σ = 1239960960. Its totient is φ = 398554560.

The previous prime is 712420133. The next prime is 712420153. The reversal of 712420137 is 731024217.

It is a happy number.

It is not a de Polignac number, because 712420137 - 22 = 712420133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 712420137.

It is not an unprimeable number, because it can be changed into a prime (712420133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88398 + ... + 96119.

It is an arithmetic number, because the mean of its divisors is an integer number (38748780).

Almost surely, 2712420137 is an apocalyptic number.

It is an amenable number.

712420137 is a deficient number, since it is larger than the sum of its proper divisors (527540823).

712420137 is a wasteful number, since it uses less digits than its factorization.

712420137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184550 (or 184544 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 712420137 is about 26691.1996171023. The cubic root of 712420137 is about 893.1246217174.

It can be divided in two parts, 7124 and 20137, that added together give a triangular number (27261 = T233).

The spelling of 712420137 in words is "seven hundred twelve million, four hundred twenty thousand, one hundred thirty-seven".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 3861 184517 553551 1660653 2029687 2398721 4981959 6089061 7196163 18267183 21588489 26385931 54801549 64765467 79157793 237473379 712420137