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13749696 = 263373109
BaseRepresentation
bin110100011100…
…110111000000
3221212120001000
4310130313000
512004442241
61210412000
7224604402
oct64346700
927776030
1013749696
117841394
124731000
132b0551c
141b7cb72
151318eb6
hexd1cdc0

13749696 has 112 divisors (see below), whose sum is σ = 41351200. Its totient is φ = 4478976.

The previous prime is 13749691. The next prime is 13749733. The reversal of 13749696 is 69694731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13749691) by changing a digit.

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, 126090 + ... + 126198.

Almost surely, 213749696 is an apocalyptic number.

13749696 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 13749696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20675600).

13749696 is an abundant number, since it is smaller than the sum of its proper divisors (27601504).

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

13749696 is a wasteful number, since it uses less digits than its factorization.

13749696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 13749696 is about 3708.0582519696. The cubic root of 13749696 is about 239.5692272745.

The spelling of 13749696 in words is "thirteen million, seven hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 109 144 146 192 216 218 219 288 292 327 432 436 438 576 584 654 657 864 872 876 981 1168 1308 1314 1728 1744 1752 1962 1971 2336 2616 2628 2943 3488 3504 3924 3942 4672 5232 5256 5886 6976 7008 7848 7884 7957 10464 10512 11772 14016 15696 15768 15914 20928 21024 23544 23871 31392 31536 31828 42048 47088 47742 62784 63072 63656 71613 94176 95484 126144 127312 143226 188352 190968 214839 254624 286452 381936 429678 509248 572904 763872 859356 1145808 1527744 1718712 2291616 3437424 4583232 6874848 13749696