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18057144 = 2337195657
BaseRepresentation
bin100010011100…
…0011110111000
31020222101202010
41010320132320
514110312034
61443005520
7306324510
oct104703670
936871663
1018057144
11a213666
1260698a0
133983001
142580840
1518ba3e9
hex11387b8

18057144 has 64 divisors (see below), whose sum is σ = 54316800. Its totient is φ = 4886784.

The previous prime is 18057107. The next prime is 18057173. The reversal of 18057144 is 44175081.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364 + ... + 6020.

It is an arithmetic number, because the mean of its divisors is an integer number (848700).

Almost surely, 218057144 is an apocalyptic number.

18057144 is a gapful number since it is divisible by the number (14) 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 18057144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27158400).

18057144 is an abundant number, since it is smaller than the sum of its proper divisors (36259656).

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

18057144 is a wasteful number, since it uses less digits than its factorization.

18057144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 18057144 is about 4249.3698356345. The cubic root of 18057144 is about 262.3511791360.

The spelling of 18057144 in words is "eighteen million, fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 5657 11314 16971 22628 33942 39599 45256 67884 79198 107483 118797 135768 158396 214966 237594 316792 322449 429932 475188 644898 752381 859864 950376 1289796 1504762 2257143 2579592 3009524 4514286 6019048 9028572 18057144