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18112960 = 265232107
BaseRepresentation
bin100010100011…
…0000111000000
31021002020022101
41011012013000
514114103320
61444120144
7306646315
oct105060700
937066271
1018112960
11a251598
126096054
1339a2538
142596d0c
1518cbc0a
hex11461c0

18112960 has 84 divisors (see below), whose sum is σ = 45509688. Its totient is φ = 6865408.

The previous prime is 18112957. The next prime is 18112993. The reversal of 18112960 is 6921181.

It is a happy number.

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, 169227 + ... + 169333.

It is an arithmetic number, because the mean of its divisors is an integer number (541782).

Almost surely, 218112960 is an apocalyptic number.

18112960 is a gapful number since it is divisible by the number (10) 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 18112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22754844).

18112960 is an abundant number, since it is smaller than the sum of its proper divisors (27396728).

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

18112960 is a wasteful number, since it uses less digits than its factorization.

18112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 18112960 is about 4255.9323302891. The cubic root of 18112960 is about 262.6212168807.

The spelling of 18112960 in words is "eighteen million, one hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 107 115 160 184 214 230 320 368 428 460 529 535 736 856 920 1058 1070 1472 1712 1840 2116 2140 2461 2645 3424 3680 4232 4280 4922 5290 6848 7360 8464 8560 9844 10580 12305 16928 17120 19688 21160 24610 33856 34240 39376 42320 49220 56603 78752 84640 98440 113206 157504 169280 196880 226412 283015 393760 452824 566030 787520 905648 1132060 1811296 2264120 3622592 4528240 9056480 18112960