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14993088 = 2631131229
BaseRepresentation
bin111001001100…
…011011000000
31001012201122120
4321030123000
512314234323
61253204240
7241303425
oct71143300
931181576
1014993088
118510590
125030680
13314c466
141dc3d4c
1514b25e3
hexe4c6c0

14993088 has 112 divisors (see below), whose sum is σ = 44866560. Its totient is φ = 4377600.

The previous prime is 14993063. The next prime is 14993089. The reversal of 14993088 is 88039941.

It is not an unprimeable number, because it can be changed into a prime (14993089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65358 + ... + 65586.

Almost surely, 214993088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14993088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22433280).

14993088 is an abundant number, since it is smaller than the sum of its proper divisors (29873472).

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

14993088 is a wasteful number, since it uses less digits than its factorization.

14993088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 14993088 is about 3872.0909080237. The cubic root of 14993088 is about 246.5833205956.

The spelling of 14993088 in words is "fourteen million, nine hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 229 248 264 341 352 372 458 496 528 682 687 704 744 916 992 1023 1056 1364 1374 1488 1832 1984 2046 2112 2519 2728 2748 2976 3664 4092 5038 5456 5496 5952 7099 7328 7557 8184 10076 10912 10992 14198 14656 15114 16368 20152 21297 21824 21984 28396 30228 32736 40304 42594 43968 56792 60456 65472 78089 80608 85188 113584 120912 156178 161216 170376 227168 234267 241824 312356 340752 454336 468534 483648 624712 681504 937068 1249424 1363008 1874136 2498848 3748272 4997696 7496544 14993088