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14928720 = 2435173659
BaseRepresentation
bin111000111100…
…101101010000
31001002110100120
4320330231100
512310204340
61251550240
7240614652
oct70745520
931073316
1014928720
118477194
124bbb380
133129081
141da86d2
15149d4d0
hexe3cb50

14928720 has 80 divisors (see below), whose sum is σ = 49014720. Its totient is φ = 3745792.

The previous prime is 14928691. The next prime is 14928731. The reversal of 14928720 is 2782941.

It is a happy number.

14928720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2251 + ... + 5909.

It is an arithmetic number, because the mean of its divisors is an integer number (612684).

Almost surely, 214928720 is an apocalyptic number.

14928720 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 14928720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24507360).

14928720 is an abundant number, since it is smaller than the sum of its proper divisors (34086000).

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

14928720 is a wasteful number, since it uses less digits than its factorization.

14928720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 14928720 is about 3863.7701795008. The cubic root of 14928720 is about 246.2299390153.

The spelling of 14928720 in words is "fourteen million, nine hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 3659 4080 7318 10977 14636 18295 21954 29272 36590 43908 54885 58544 62203 73180 87816 109770 124406 146360 175632 186609 219540 248812 292720 311015 373218 439080 497624 622030 746436 878160 933045 995248 1244060 1492872 1866090 2488120 2985744 3732180 4976240 7464360 14928720