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136731 = 3717383
BaseRepresentation
bin100001011000011011
320221120010
4201120123
513333411
62533003
71106430
oct413033
9227503
10136731
1193801
1267163
134a30a
1437b87
152a7a6
hex2161b

136731 has 16 divisors (see below), whose sum is σ = 221184. Its totient is φ = 73344.

The previous prime is 136727. The next prime is 136733. The reversal of 136731 is 137631.

It is not a de Polignac number, because 136731 - 22 = 136727 is a prime.

It is a super-2 number, since 2×1367312 = 37390732722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 136698 and 136707.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136731.

It is not an unprimeable number, because it can be changed into a prime (136733) 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, 166 + ... + 548.

It is an arithmetic number, because the mean of its divisors is an integer number (13824).

2136731 is an apocalyptic number.

136731 is a deficient number, since it is larger than the sum of its proper divisors (84453).

136731 is a wasteful number, since it uses less digits than its factorization.

136731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410.

The product of its digits is 378, while the sum is 21.

The square root of 136731 is about 369.7715510961. The cubic root of 136731 is about 51.5176048148.

Subtracting 136731 from its reverse (137631), we obtain a square (900 = 302).

The spelling of 136731 in words is "one hundred thirty-six thousand, seven hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 357 383 1149 2681 6511 8043 19533 45577 136731