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13136838 = 23111361251
BaseRepresentation
bin110010000111…
…001111000110
3220201102100120
4302013033012
511330334323
61145322410
7216442551
oct62071706
926642316
1013136838
1174629a0
124496406
13294c5a0
141a5d698
1512475e3
hexc873c6

13136838 has 64 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 3600000.

The previous prime is 13136833. The next prime is 13136843. The reversal of 13136838 is 83863131.

It is a happy number.

13136838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13136833) and next prime (13136843).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13136799 and 13136808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13136833) 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, 52213 + ... + 52463.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 213136838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13136838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

13136838 is an abundant number, since it is smaller than the sum of its proper divisors (18361146).

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

13136838 is a wasteful number, since it uses less digits than its factorization.

13136838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341.

The product of its digits is 10368, while the sum is 33.

The square root of 13136838 is about 3624.4776175333. The cubic root of 13136838 is about 235.9555958783.

Adding to 13136838 its reverse (83863131), we get a palindrome (96999969).

The spelling of 13136838 in words is "thirteen million, one hundred thirty-six thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 61 66 78 122 143 183 251 286 366 429 502 671 753 793 858 1342 1506 1586 2013 2379 2761 3263 4026 4758 5522 6526 8283 8723 9789 15311 16566 17446 19578 26169 30622 35893 45933 52338 71786 91866 107679 168421 199043 215358 336842 398086 505263 597129 1010526 1194258 2189473 4378946 6568419 13136838