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18680816 = 2471159257
BaseRepresentation
bin100011101000…
…0101111110000
31022011002021002
41013100233300
514240241231
61504221132
7314533010
oct107205760
938132232
1018680816
11a5aa1a0
12630a7a8
133b40b4b
1426a3c40
1519900cb
hex11d0bf0

18680816 has 80 divisors (see below), whose sum is σ = 46068480. Its totient is φ = 7127040.

The previous prime is 18680803. The next prime is 18680861. The reversal of 18680816 is 61808681.

It is a self number, because there is not a number n which added to its sum of digits gives 18680816.

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, 72560 + ... + 72816.

It is an arithmetic number, because the mean of its divisors is an integer number (575856).

Almost surely, 218680816 is an apocalyptic number.

18680816 is a gapful number since it is divisible by the number (16) 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 18680816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23034240).

18680816 is an abundant number, since it is smaller than the sum of its proper divisors (27387664).

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

18680816 is a wasteful number, since it uses less digits than its factorization.

18680816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 18680816 is about 4322.1309559059. The cubic root of 18680816 is about 265.3374886066.

The spelling of 18680816 in words is "eighteen million, six hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 59 77 88 112 118 154 176 236 257 308 413 472 514 616 649 826 944 1028 1232 1298 1652 1799 2056 2596 2827 3304 3598 4112 4543 5192 5654 6608 7196 9086 10384 11308 14392 15163 18172 19789 22616 28784 30326 36344 39578 45232 60652 72688 79156 106141 121304 158312 166793 212282 242608 316624 333586 424564 667172 849128 1167551 1334344 1698256 2335102 2668688 4670204 9340408 18680816