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18132864 = 27347221
BaseRepresentation
bin100010100101…
…0111110000000
31021010020121120
41011022332000
514120222424
61444352240
7310061331
oct105127600
937106546
1018132864
11a265542
1260a5680
1339ab609
1425a0288
1518d2a79
hex114af80

18132864 has 32 divisors (see below), whose sum is σ = 48166440. Its totient is φ = 6044160.

The previous prime is 18132857. The next prime is 18132871. The reversal of 18132864 is 46823181.

18132864 = T467 + T468 + ... + T594.

It is an interprime number because it is at equal distance from previous prime (18132857) and next prime (18132871).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23227 + ... + 23994.

Almost surely, 218132864 is an apocalyptic number.

It is an amenable number.

18132864 is an abundant number, since it is smaller than the sum of its proper divisors (30033576).

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

18132864 is an equidigital number, since it uses as much as digits as its factorization.

18132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47238 (or 47226 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 18132864 is about 4258.2700712848. The cubic root of 18132864 is about 262.7173782144.

The spelling of 18132864 in words is "eighteen million, one hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 47221 94442 141663 188884 283326 377768 566652 755536 1133304 1511072 2266608 3022144 4533216 6044288 9066432 18132864