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14091936 = 253181811
BaseRepresentation
bin110101110000…
…011010100000
3222111221111120
4311300122200
512101420221
61222012240
7230531235
oct65603240
928457446
1014091936
117a55531
124877080
132bc5231
141c2b78c
1513855c6
hexd706a0

14091936 has 48 divisors (see below), whose sum is σ = 37241568. Its totient is φ = 4665600.

The previous prime is 14091923. The next prime is 14091937. The reversal of 14091936 is 63919041.

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 = 14091897 and 14091906.

It is not an unprimeable number, because it can be changed into a prime (14091937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16971 + ... + 17781.

It is an arithmetic number, because the mean of its divisors is an integer number (775866).

Almost surely, 214091936 is an apocalyptic number.

14091936 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 14091936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18620784).

14091936 is an abundant number, since it is smaller than the sum of its proper divisors (23149632).

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

14091936 is a wasteful number, since it uses less digits than its factorization.

14091936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 14091936 is about 3753.9227482728. The cubic root of 14091936 is about 241.5406444543.

The spelling of 14091936 in words is "fourteen million, ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 811 1086 1448 1622 2172 2433 2896 3244 4344 4866 5792 6488 8688 9732 12976 17376 19464 25952 38928 77856 146791 293582 440373 587164 880746 1174328 1761492 2348656 3522984 4697312 7045968 14091936