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14903680 = 275112973
BaseRepresentation
bin111000110110…
…100110000000
31001001012000011
4320312212000
512303404210
61251234304
7240451651
oct70664600
931035004
1014903680
11845a3a0
124ba8994
13311a85c
141d9d528
151495d8a
hexe36980

14903680 has 128 divisors (see below), whose sum is σ = 40759200. Its totient is φ = 5160960.

The previous prime is 14903677. The next prime is 14903731. The reversal of 14903680 is 8630941.

It is a tau number, because it is divible by the number of its divisors (128).

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, 204124 + ... + 204196.

Almost surely, 214903680 is an apocalyptic number.

14903680 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 14903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379600).

14903680 is an abundant number, since it is smaller than the sum of its proper divisors (25855520).

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

14903680 is a wasteful number, since it uses less digits than its factorization.

14903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 14903680 is about 3860.5284612343. The cubic root of 14903680 is about 246.0921944959.

The spelling of 14903680 in words is "fourteen million, nine hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 73 80 88 110 116 128 145 146 160 176 220 232 290 292 319 320 352 365 440 464 580 584 638 640 704 730 803 880 928 1160 1168 1276 1408 1460 1595 1606 1760 1856 2117 2320 2336 2552 2920 3190 3212 3520 3712 4015 4234 4640 4672 5104 5840 6380 6424 7040 8030 8468 9280 9344 10208 10585 11680 12760 12848 16060 16936 18560 20416 21170 23287 23360 25520 25696 32120 33872 40832 42340 46574 46720 51040 51392 64240 67744 84680 93148 102080 102784 116435 128480 135488 169360 186296 204160 232870 256960 270976 338720 372592 465740 513920 677440 745184 931480 1354880 1490368 1862960 2980736 3725920 7451840 14903680