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14279936 = 28112461
BaseRepresentation
bin110110011110…
…010100000000
3222212111101112
4312132110000
512123424221
61230022452
7232243316
oct66362400
928774345
1014279936
118073800
124947a28
132c5c988
141c7a0b6
1513c115b
hexd9e500

14279936 has 54 divisors (see below), whose sum is σ = 31398906. Its totient is φ = 6476800.

The previous prime is 14279929. The next prime is 14279953. The reversal of 14279936 is 63997241.

It can be written as a sum of positive squares in only one way, i.e., 11182336 + 3097600 = 3344^2 + 1760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14279893 and 14279902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30746 + ... + 31206.

Almost surely, 214279936 is an apocalyptic number.

14279936 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 14279936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15699453).

14279936 is an abundant number, since it is smaller than the sum of its proper divisors (17118970).

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

14279936 is an equidigital number, since it uses as much as digits as its factorization.

14279936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 474 counting only the distinct ones).

The product of its digits is 81648, while the sum is 41.

The square root of 14279936 is about 3778.8802574308. The cubic root of 14279936 is about 242.6100311952.

The spelling of 14279936 in words is "fourteen million, two hundred seventy-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 461 484 704 922 968 1408 1844 1936 2816 3688 3872 5071 7376 7744 10142 14752 15488 20284 29504 30976 40568 55781 59008 81136 111562 118016 162272 223124 324544 446248 649088 892496 1298176 1784992 3569984 7139968 14279936