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18990468 = 22327179421
BaseRepresentation
bin100100001110…
…0010110000100
31022201211000200
41020130112010
514330143333
61515010500
7320262540
oct110342604
938654020
1018990468
11a7a0902
126439a30
133c1ba83
142744a20
151a01c13
hex121c584

18990468 has 72 divisors (see below), whose sum is σ = 55298880. Its totient is φ = 5382720.

The previous prime is 18990451. The next prime is 18990469. The reversal of 18990468 is 86409981.

18990468 is a `hidden beast` number, since 189 + 9 + 0 + 468 = 666.

It is not an unprimeable number, because it can be changed into a prime (18990469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44898 + ... + 45318.

It is an arithmetic number, because the mean of its divisors is an integer number (768040).

Almost surely, 218990468 is an apocalyptic number.

18990468 is a gapful number since it is divisible by the number (18) 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 18990468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27649440).

18990468 is an abundant number, since it is smaller than the sum of its proper divisors (36308412).

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

18990468 is a wasteful number, since it uses less digits than its factorization.

18990468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 18990468 is about 4357.8054109838. The cubic root of 18990468 is about 266.7955342421.

The spelling of 18990468 in words is "eighteen million, nine hundred ninety thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 252 358 421 537 716 842 1074 1253 1263 1611 1684 2148 2506 2526 2947 3222 3759 3789 5012 5052 5894 6444 7518 7578 8841 11277 11788 15036 15156 17682 22554 26523 35364 45108 53046 75359 106092 150718 226077 301436 452154 527513 678231 904308 1055026 1356462 1582539 2110052 2712924 3165078 4747617 6330156 9495234 18990468