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13929936 = 2431743397
BaseRepresentation
bin110101001000…
…110111010000
3222012201021120
4311020313100
512031224221
61214322240
7226255026
oct65106720
928181246
1013929936
117954849
1247b9380
132b69587
141bc8716
1513525c6
hexd48dd0

13929936 has 80 divisors (see below), whose sum is σ = 39086784. Its totient is φ = 4257792.

The previous prime is 13929913. The next prime is 13929961. The reversal of 13929936 is 63992931.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34890 + ... + 35286.

Almost surely, 213929936 is an apocalyptic number.

13929936 is a gapful number since it is divisible by the number (16) 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 13929936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543392).

13929936 is an abundant number, since it is smaller than the sum of its proper divisors (25156848).

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

13929936 is a wasteful number, since it uses less digits than its factorization.

13929936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its digits is 78732, while the sum is 42.

The square root of 13929936 is about 3732.2829474733. The cubic root of 13929936 is about 240.6114962006.

The spelling of 13929936 in words is "thirteen million, nine hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 129 136 172 204 258 272 344 397 408 516 688 731 794 816 1032 1191 1462 1588 2064 2193 2382 2924 3176 4386 4764 5848 6352 6749 8772 9528 11696 13498 17071 17544 19056 20247 26996 34142 35088 40494 51213 53992 68284 80988 102426 107984 136568 161976 204852 273136 290207 323952 409704 580414 819408 870621 1160828 1741242 2321656 3482484 4643312 6964968 13929936