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14045976 = 2332729312
BaseRepresentation
bin110101100101…
…001100011000
3222102121110100
4311211030120
512043432401
61221015400
7230250240
oct65451430
928377410
1014045976
117a23a4a
124854560
132baa339
141c18b20
151376b86
hexd65318

14045976 has 144 divisors (see below), whose sum is σ = 46472400. Its totient is φ = 3749760.

The previous prime is 14045923. The next prime is 14045989. The reversal of 14045976 is 67954041.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14045976.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 453081 + ... + 453111.

It is an arithmetic number, because the mean of its divisors is an integer number (322725).

Almost surely, 214045976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14045976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23236200).

14045976 is an abundant number, since it is smaller than the sum of its proper divisors (32426424).

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

14045976 is a wasteful number, since it uses less digits than its factorization.

14045976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 14045976 is about 3747.7961524074. The cubic root of 14045976 is about 241.2777683770.

The spelling of 14045976 in words is "fourteen million, forty-five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 31 36 42 56 58 62 63 72 84 87 93 116 124 126 168 174 186 203 217 232 248 252 261 279 348 372 406 434 504 522 558 609 651 696 744 812 868 899 961 1044 1116 1218 1302 1624 1736 1798 1827 1922 1953 2088 2232 2436 2604 2697 2883 3596 3654 3844 3906 4872 5208 5394 5766 6293 6727 7192 7308 7688 7812 8091 8649 10788 11532 12586 13454 14616 15624 16182 17298 18879 20181 21576 23064 25172 26908 27869 32364 34596 37758 40362 50344 53816 55738 56637 60543 64728 69192 75516 80724 83607 111476 113274 121086 151032 161448 167214 195083 222952 226548 242172 250821 334428 390166 453096 484344 501642 585249 668856 780332 1003284 1170498 1560664 1755747 2006568 2340996 3511494 4681992 7022988 14045976