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18432072 = 2332594339
BaseRepresentation
bin100011001010…
…0000001001000
31021200110001100
41012110001020
514204311242
61455021400
7312445551
oct106240110
937613040
1018432072
11a44a31a
12620a860
133a84869
14263b328
15194154c
hex1194048

18432072 has 48 divisors (see below), whose sum is σ = 50778000. Its totient is φ = 6038496.

The previous prime is 18432049. The next prime is 18432103. The reversal of 18432072 is 27023481.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2079 + ... + 6417.

It is an arithmetic number, because the mean of its divisors is an integer number (1057875).

Almost surely, 218432072 is an apocalyptic number.

18432072 is a gapful number since it is divisible by the number (12) 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 18432072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25389000).

18432072 is an abundant number, since it is smaller than the sum of its proper divisors (32345928).

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

18432072 is a wasteful number, since it uses less digits than its factorization.

18432072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 18432072 is about 4293.2589020463. The cubic root of 18432072 is about 264.1545238619.

The spelling of 18432072 in words is "eighteen million, four hundred thirty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 4248 4339 8678 13017 17356 26034 34712 39051 52068 78102 104136 156204 256001 312408 512002 768003 1024004 1536006 2048008 2304009 3072012 4608018 6144024 9216036 18432072