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18396072 = 23359463
BaseRepresentation
bin100011000101…
…1001110101000
31021121121200000
41012023032220
514202133242
61454143000
7312235602
oct106131650
937547600
1018396072
11a425272
1261b1a60
133a71366
14262c172
151935a4c
hex118b3a8

18396072 has 48 divisors (see below), whose sum is σ = 51673440. Its totient is φ = 6131376.

The previous prime is 18396071. The next prime is 18396083. The reversal of 18396072 is 27069381.

18396072 is a `hidden beast` number, since 18 + 39 + 607 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18396071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2788 + ... + 6675.

It is an arithmetic number, because the mean of its divisors is an integer number (1076530).

Almost surely, 218396072 is an apocalyptic number.

18396072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18396072 is an abundant number, since it is smaller than the sum of its proper divisors (33277368).

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

18396072 is an equidigital number, since it uses as much as digits as its factorization.

18396072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9484 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 18396072 is about 4289.0642336062. The cubic root of 18396072 is about 263.9824368481.

The spelling of 18396072 in words is "eighteen million, three hundred ninety-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 9463 18926 28389 37852 56778 75704 85167 113556 170334 227112 255501 340668 511002 681336 766503 1022004 1533006 2044008 2299509 3066012 4599018 6132024 9198036 18396072