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13931064 = 23327131211
BaseRepresentation
bin110101001001…
…001000111000
3222012202211100
4311021020320
512031243224
61214331400
7226261230
oct65111070
928182740
1013931064
117955684
1247b9b60
132b69c44
141bc8cc0
151352ac9
hexd49238

13931064 has 96 divisors (see below), whose sum is σ = 43655040. Its totient is φ = 3931200.

The previous prime is 13931039. The next prime is 13931069. The reversal of 13931064 is 46013931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13931069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65919 + ... + 66129.

It is an arithmetic number, because the mean of its divisors is an integer number (454740).

Almost surely, 213931064 is an apocalyptic number.

13931064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13931064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21827520).

13931064 is an abundant number, since it is smaller than the sum of its proper divisors (29723976).

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

13931064 is a wasteful number, since it uses less digits than its factorization.

13931064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13931064 is about 3732.4340583592. The cubic root of 13931064 is about 240.6179906656.

Adding to 13931064 its reverse (46013931), we get a palindrome (59944995).

The spelling of 13931064 in words is "thirteen million, nine hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 131 168 211 252 262 393 422 504 524 633 786 844 917 1048 1179 1266 1477 1572 1688 1834 1899 2358 2532 2751 2954 3144 3668 3798 4431 4716 5064 5502 5908 7336 7596 8253 8862 9432 11004 11816 13293 15192 16506 17724 22008 26586 27641 33012 35448 53172 55282 66024 82923 106344 110564 165846 193487 221128 248769 331692 386974 497538 580461 663384 773948 995076 1160922 1547896 1741383 1990152 2321844 3482766 4643688 6965532 13931064