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13991712 = 253747443
BaseRepresentation
bin110101010111…
…111100100000
3222022212000120
4311113330200
512040213322
61215520240
7226633110
oct65277440
928285016
1013991712
1179971a9
124829080
132b8b727
141c03040
151365a5c
hexd57f20

13991712 has 96 divisors (see below), whose sum is σ = 42964992. Its totient is φ = 3903744.

The previous prime is 13991711. The next prime is 13991741. The reversal of 13991712 is 21719931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13991711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31363 + ... + 31805.

It is an arithmetic number, because the mean of its divisors is an integer number (447552).

Almost surely, 213991712 is an apocalyptic number.

13991712 is a gapful number since it is divisible by the number (12) 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 13991712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21482496).

13991712 is an abundant number, since it is smaller than the sum of its proper divisors (28973280).

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

13991712 is a wasteful number, since it uses less digits than its factorization.

13991712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its digits is 3402, while the sum is 33.

The square root of 13991712 is about 3740.5496922244. The cubic root of 13991712 is about 240.9666568886.

The spelling of 13991712 in words is "thirteen million, nine hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 443 564 658 672 752 886 987 1128 1316 1329 1504 1772 1974 2256 2632 2658 3101 3544 3948 4512 5264 5316 6202 7088 7896 9303 10528 10632 12404 14176 15792 18606 20821 21264 24808 31584 37212 41642 42528 49616 62463 74424 83284 99232 124926 145747 148848 166568 249852 291494 297696 333136 437241 499704 582988 666272 874482 999408 1165976 1748964 1998816 2331952 3497928 4663904 6995856 13991712