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14930880 = 2635103151
BaseRepresentation
bin111000111101…
…001111000000
31001002120022120
4320331033000
512310242010
61252004240
7240624156
oct70751700
931076276
1014930880
118478878
125000680
13312a053
141da93d6
15149de70
hexe3d3c0

14930880 has 112 divisors (see below), whose sum is σ = 48182784. Its totient is φ = 3916800.

The previous prime is 14930863. The next prime is 14930891. The reversal of 14930880 is 8803941.

14930880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 98805 + ... + 98955.

Almost surely, 214930880 is an apocalyptic number.

14930880 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 14930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24091392).

14930880 is an abundant number, since it is smaller than the sum of its proper divisors (33251904).

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

14930880 is a wasteful number, since it uses less digits than its factorization.

14930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 14930880 is about 3864.0496891215. The cubic root of 14930880 is about 246.2418139119.

The spelling of 14930880 in words is "fourteen million, nine hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 151 160 192 206 240 302 309 320 412 453 480 515 604 618 755 824 906 960 1030 1208 1236 1510 1545 1648 1812 2060 2265 2416 2472 3020 3090 3296 3624 4120 4530 4832 4944 6040 6180 6592 7248 8240 9060 9664 9888 12080 12360 14496 15553 16480 18120 19776 24160 24720 28992 31106 32960 36240 46659 48320 49440 62212 72480 77765 93318 98880 124424 144960 155530 186636 233295 248848 311060 373272 466590 497696 622120 746544 933180 995392 1244240 1493088 1866360 2488480 2986176 3732720 4976960 7465440 14930880