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18468072 = 2332736643
BaseRepresentation
bin100011001110…
…0110011101000
31021202021102200
41012130303220
514211434242
61455500200
7312655530
oct106346350
937667380
1018468072
11a474377
126227660
133a9806c
14264a4c0
15194c04c
hex119cce8

18468072 has 48 divisors (see below), whose sum is σ = 57164640. Its totient is φ = 5276448.

The previous prime is 18468059. The next prime is 18468091. The reversal of 18468072 is 27086481.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17818 + ... + 18825.

It is an arithmetic number, because the mean of its divisors is an integer number (1190930).

Almost surely, 218468072 is an apocalyptic number.

18468072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18468072 is an abundant number, since it is smaller than the sum of its proper divisors (38696568).

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

18468072 is a wasteful number, since it uses less digits than its factorization.

18468072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36662 (or 36655 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 18468072 is about 4297.4494761428. The cubic root of 18468072 is about 264.3263869505.

The spelling of 18468072 in words is "eighteen million, four hundred sixty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 36643 73286 109929 146572 219858 256501 293144 329787 439716 513002 659574 769503 879432 1026004 1319148 1539006 2052008 2308509 2638296 3078012 4617018 6156024 9234036 18468072