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14391936 = 273213312
BaseRepresentation
bin110110111001…
…101010000000
31000002012000200
4312321222000
512141020221
61232245200
7233220666
oct66715200
930065020
1014391936
11813a969
1249a0800
132c9b950
141ca8c36
1513e4426
hexdb9a80

14391936 has 144 divisors (see below), whose sum is σ = 46085130. Its totient is φ = 4285440.

The previous prime is 14391919. The next prime is 14391941. The reversal of 14391936 is 63919341.

It can be written as a sum of positive squares in only one way, i.e., 13838400 + 553536 = 3720^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14391936.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 464241 + ... + 464271.

Almost surely, 214391936 is an apocalyptic number.

14391936 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 14391936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042565).

14391936 is an abundant number, since it is smaller than the sum of its proper divisors (31693194).

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

14391936 is a wasteful number, since it uses less digits than its factorization.

14391936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 49 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 14391936 is about 3793.6705181130. The cubic root of 14391936 is about 243.2426575682.

It can be divided in two parts, 1439 and 1936, that added together give a cube (3375 = 153).

The spelling of 14391936 in words is "fourteen million, three hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 64 72 78 93 96 104 117 124 128 144 156 186 192 208 234 248 279 288 312 372 384 403 416 468 496 558 576 624 744 806 832 936 961 992 1116 1152 1209 1248 1488 1612 1664 1872 1922 1984 2232 2418 2496 2883 2976 3224 3627 3744 3844 3968 4464 4836 4992 5766 5952 6448 7254 7488 7688 8649 8928 9672 11532 11904 12493 12896 14508 14976 15376 17298 17856 19344 23064 24986 25792 29016 30752 34596 35712 37479 38688 46128 49972 51584 58032 61504 69192 74958 77376 92256 99944 112437 116064 123008 138384 149916 154752 184512 199888 224874 232128 276768 299832 369024 399776 449748 464256 553536 599664 799552 899496 1107072 1199328 1599104 1798992 2398656 3597984 4797312 7195968 14391936