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14928660 = 22325197421
BaseRepresentation
bin111000111100…
…101100010100
31001002110021100
4320330230110
512310204120
61251550100
7240614535
oct70745424
931073240
1014928660
11847713a
124bbb330
133129036
141da868c
15149d490
hexe3cb14

14928660 has 72 divisors (see below), whose sum is σ = 45621576. Its totient is φ = 3951360.

The previous prime is 14928637. The next prime is 14928671. The reversal of 14928660 is 6682941.

14928660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1179396 + 13749264 = 1086^2 + 3708^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35250 + ... + 35670.

It is an arithmetic number, because the mean of its divisors is an integer number (633633).

Almost surely, 214928660 is an apocalyptic number.

14928660 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 14928660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22810788).

14928660 is an abundant number, since it is smaller than the sum of its proper divisors (30692916).

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

14928660 is a wasteful number, since it uses less digits than its factorization.

14928660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 14928660 is about 3863.7624150561. The cubic root of 14928660 is about 246.2296091407.

The spelling of 14928660 in words is "fourteen million, nine hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 421 591 788 842 985 1182 1263 1684 1773 1970 2105 2364 2526 2955 3546 3789 3940 4210 5052 5910 6315 7092 7578 8420 8865 11820 12630 15156 17730 18945 25260 35460 37890 75780 82937 165874 248811 331748 414685 497622 746433 829370 995244 1244055 1492866 1658740 2488110 2985732 3732165 4976220 7464330 14928660