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14520960 = 273252521
BaseRepresentation
bin110111011001…
…001010000000
31000022202000100
4313121022000
512204132320
61235122400
7234266106
oct67311200
930282010
1014520960
1182188a3
124a43400
1330155ac
141cddc76
15141c790
hexdd9280

14520960 has 96 divisors (see below), whose sum is σ = 50162580. Its totient is φ = 3870720.

The previous prime is 14520953. The next prime is 14521007. The reversal of 14520960 is 6902541.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 2742336 = 3432^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4500 + ... + 7020.

Almost surely, 214520960 is an apocalyptic number.

14520960 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 14520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25081290).

14520960 is an abundant number, since it is smaller than the sum of its proper divisors (35641620).

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

14520960 is a wasteful number, since it uses less digits than its factorization.

14520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 14520960 is about 3810.6377419010. The cubic root of 14520960 is about 243.9673879195.

The spelling of 14520960 in words is "fourteen million, five hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2521 2880 5042 5760 7563 10084 12605 15126 20168 22689 25210 30252 37815 40336 45378 50420 60504 75630 80672 90756 100840 113445 121008 151260 161344 181512 201680 226890 242016 302520 322688 363024 403360 453780 484032 605040 726048 806720 907560 968064 1210080 1452096 1613440 1815120 2420160 2904192 3630240 4840320 7260480 14520960