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14312480 = 255713983
BaseRepresentation
bin110110100110…
…010000100000
3222221011000212
4312212100200
512130444410
61230433252
7232440230
oct66462040
928834025
1014312480
1180961a6
124962828
132c71730
141c87cc0
1513cab05
hexda6420

14312480 has 96 divisors (see below), whose sum is σ = 41658624. Its totient is φ = 4525056.

The previous prime is 14312479. The next prime is 14312489. The reversal of 14312480 is 8421341.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14312489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14069 + ... + 15051.

It is an arithmetic number, because the mean of its divisors is an integer number (433944).

Almost surely, 214312480 is an apocalyptic number.

14312480 is a gapful number since it is divisible by the number (10) 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 14312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20829312).

14312480 is an abundant number, since it is smaller than the sum of its proper divisors (27346144).

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

14312480 is a wasteful number, since it uses less digits than its factorization.

14312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 14312480 is about 3783.1838443301. The cubic root of 14312480 is about 242.7941942635.

The spelling of 14312480 in words is "fourteen million, three hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 983 1040 1120 1456 1820 1966 2080 2912 3640 3932 4915 6881 7280 7864 9830 12779 13762 14560 15728 19660 25558 27524 31456 34405 39320 51116 55048 63895 68810 78640 89453 102232 110096 127790 137620 157280 178906 204464 220192 255580 275240 357812 408928 447265 511160 550480 715624 894530 1022320 1100960 1431248 1789060 2044640 2862496 3578120 7156240 14312480