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14688090 = 2325293557
BaseRepresentation
bin111000000001…
…111101011010
31000122020021100
4320001331122
512230004330
61242452230
7235563264
oct70017532
930566240
1014688090
11832241a
124b04076
1330736a1
141d44b34
151452060
hexe01f5a

14688090 has 48 divisors (see below), whose sum is σ = 38388168. Its totient is φ = 3896448.

The previous prime is 14688073. The next prime is 14688131. The reversal of 14688090 is 9088641.

It is a happy number.

14688090 is digitally balanced in base 2 and base 4, because in such bases 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 12131289 + 2556801 = 3483^2 + 1599^2 .

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, 26092 + ... + 26648.

Almost surely, 214688090 is an apocalyptic number.

14688090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14688090 is an abundant number, since it is smaller than the sum of its proper divisors (23700078).

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

14688090 is a wasteful number, since it uses less digits than its factorization.

14688090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 14688090 is about 3832.5044031286. The cubic root of 14688090 is about 244.8998063169.

The spelling of 14688090 in words is "fourteen million, six hundred eighty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 293 557 586 879 1114 1465 1671 1758 2637 2785 2930 3342 4395 5013 5274 5570 8355 8790 10026 13185 16710 25065 26370 50130 163201 326402 489603 816005 979206 1468809 1632010 2448015 2937618 4896030 7344045 14688090