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18180768 = 253229827
BaseRepresentation
bin100010101011…
…0101010100000
31021012200022210
41011112222200
514123241033
61445402120
7310351104
oct105265240
937180283
1018180768
11a298531
126109340
1339c7368
1425b3904
1518e1d63
hex1156aa0

18180768 has 48 divisors (see below), whose sum is σ = 47990880. Its totient is φ = 6026496.

The previous prime is 18180751. The next prime is 18180781. The reversal of 18180768 is 86708181.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21571 + ... + 22397.

It is an arithmetic number, because the mean of its divisors is an integer number (999810).

Almost surely, 218180768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18180768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23995440).

18180768 is an abundant number, since it is smaller than the sum of its proper divisors (29810112).

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

18180768 is a wasteful number, since it uses less digits than its factorization.

18180768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 18180768 is about 4263.8911806002. The cubic root of 18180768 is about 262.9485266023.

The spelling of 18180768 in words is "eighteen million, one hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 827 916 1374 1654 1832 2481 2748 3308 3664 4962 5496 6616 7328 9924 10992 13232 19848 21984 26464 39696 79392 189383 378766 568149 757532 1136298 1515064 2272596 3030128 4545192 6060256 9090384 18180768