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136431 = 3331163
BaseRepresentation
bin100001010011101111
320221011000
4201103233
513331211
62531343
71105521
oct412357
9227130
10136431
1193559
1266b53
134a139
1437a11
152a656
hex214ef

136431 has 16 divisors (see below), whose sum is σ = 209920. Its totient is φ = 87480.

The previous prime is 136429. The next prime is 136447. The reversal of 136431 is 134631.

It is not a de Polignac number, because 136431 - 21 = 136429 is a prime.

It is a super-2 number, since 2×1364312 = 37226835522, which contains 22 as substring.

It is a Duffinian number.

136431 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136431.

It is not an unprimeable number, because it can be changed into a prime (136421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (13120).

2136431 is an apocalyptic number.

136431 is a deficient number, since it is larger than the sum of its proper divisors (73489).

136431 is a wasteful number, since it uses less digits than its factorization.

136431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 136431 is about 369.3656724711. The cubic root of 136431 is about 51.4798991527.

The spelling of 136431 in words is "one hundred thirty-six thousand, four hundred thirty-one".

Divisors: 1 3 9 27 31 93 163 279 489 837 1467 4401 5053 15159 45477 136431