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14307936 = 2531031447
BaseRepresentation
bin110110100101…
…001001100000
3222220220210120
4312211021200
512130323221
61230400240
7232421046
oct66451140
928826716
1014307936
118092845
124960080
132c6c646
141c86396
1513c95c6
hexda5260

14307936 has 48 divisors (see below), whose sum is σ = 37949184. Its totient is φ = 4719744.

The previous prime is 14307919. The next prime is 14307959. The reversal of 14307936 is 63970341.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14307897 and 14307906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9165 + ... + 10611.

It is an arithmetic number, because the mean of its divisors is an integer number (790608).

Almost surely, 214307936 is an apocalyptic number.

14307936 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 14307936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974592).

14307936 is an abundant number, since it is smaller than the sum of its proper divisors (23641248).

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

14307936 is a wasteful number, since it uses less digits than its factorization.

14307936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 14307936 is about 3782.5832442922. The cubic root of 14307936 is about 242.7684970259.

The spelling of 14307936 in words is "fourteen million, three hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1447 1648 2472 2894 3296 4341 4944 5788 8682 9888 11576 17364 23152 34728 46304 69456 138912 149041 298082 447123 596164 894246 1192328 1788492 2384656 3576984 4769312 7153968 14307936