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14688540 = 223459067
BaseRepresentation
bin111000000010…
…000100011100
31000122020220000
4320002010130
512230013130
61242454300
7235564506
oct70020434
930566800
1014688540
118322799
124b04390
133073959
141d44d76
151452260
hexe0211c

14688540 has 60 divisors (see below), whose sum is σ = 46083576. Its totient is φ = 3916512.

The previous prime is 14688533. The next prime is 14688571. The reversal of 14688540 is 4588641.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 14688495 and 14688504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2914 + ... + 6153.

Almost surely, 214688540 is an apocalyptic number.

14688540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14688540 is an abundant number, since it is smaller than the sum of its proper divisors (31395036).

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

14688540 is a wasteful number, since it uses less digits than its factorization.

14688540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9088 (or 9077 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 14688540 is about 3832.5631110264. The cubic root of 14688540 is about 244.9023072952.

The spelling of 14688540 in words is "fourteen million, six hundred eighty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 9067 18134 27201 36268 45335 54402 81603 90670 108804 136005 163206 181340 244809 272010 326412 408015 489618 544020 734427 816030 979236 1224045 1468854 1632060 2448090 2937708 3672135 4896180 7344270 14688540