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13136136 = 2331371593
BaseRepresentation
bin110010000111…
…000100001000
3220201101101120
4302013010020
511330324021
61145315240
7216440526
oct62070410
926641346
1013136136
117462412
124495b20
13294c180
141a5d316
1512472c6
hexc87108

13136136 has 64 divisors (see below), whose sum is σ = 35925120. Its totient is φ = 3978240.

The previous prime is 13136119. The next prime is 13136143. The reversal of 13136136 is 63163131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21856 + ... + 22448.

It is an arithmetic number, because the mean of its divisors is an integer number (561330).

Almost surely, 213136136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13136136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962560).

13136136 is an abundant number, since it is smaller than the sum of its proper divisors (22788984).

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

13136136 is a wasteful number, since it uses less digits than its factorization.

13136136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 682 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 13136136 is about 3624.3807746979. The cubic root of 13136136 is about 235.9513928430.

Adding to 13136136 its reverse (63163131), we get a palindrome (76299267).

The spelling of 13136136 in words is "thirteen million, one hundred thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 312 426 568 593 852 923 1186 1704 1779 1846 2372 2769 3558 3692 4744 5538 7116 7384 7709 11076 14232 15418 22152 23127 30836 42103 46254 61672 84206 92508 126309 168412 185016 252618 336824 505236 547339 1010472 1094678 1642017 2189356 3284034 4378712 6568068 13136136