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18420192 = 253279137
BaseRepresentation
bin100011001000…
…1000111100000
31021122211202100
41012101013200
514203421232
61454450400
7312366120
oct106210740
937584670
1018420192
11a4413aa
126203a00
133a7c32b
142636c80
15193cc7c
hex11911e0

18420192 has 72 divisors (see below), whose sum is σ = 59872176. Its totient is φ = 5262336.

The previous prime is 18420161. The next prime is 18420209. The reversal of 18420192 is 29102481.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 2553 + ... + 6584.

It is an arithmetic number, because the mean of its divisors is an integer number (831558).

Almost surely, 218420192 is an apocalyptic number.

18420192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18420192 is an abundant number, since it is smaller than the sum of its proper divisors (41451984).

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

18420192 is a wasteful number, since it uses less digits than its factorization.

18420192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18420192 is about 4291.8751146789. The cubic root of 18420192 is about 264.0977599380.

The spelling of 18420192 in words is "eighteen million, four hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 9137 18274 27411 36548 54822 63959 73096 82233 109644 127918 146192 164466 191877 219288 255836 292384 328932 383754 438576 511672 575631 657864 767508 877152 1023344 1151262 1315728 1535016 2046688 2302524 2631456 3070032 4605048 6140064 9210096 18420192