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18696816 = 2432157827
BaseRepresentation
bin100011101010…
…0101001110000
31022011220012200
41013110221300
514241244231
61504423200
7314630445
oct107245160
938156180
1018696816
11a610216
126317b00
133b48208
1426a99cc
151994be6
hex11d4a70

18696816 has 60 divisors (see below), whose sum is σ = 52722072. Its totient is φ = 6185088.

The previous prime is 18696791. The next prime is 18696841. The reversal of 18696816 is 61869681.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18696791) and next prime (18696841).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22195 + ... + 23021.

Almost surely, 218696816 is an apocalyptic number.

18696816 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 18696816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26361036).

18696816 is an abundant number, since it is smaller than the sum of its proper divisors (34025256).

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

18696816 is a wasteful number, since it uses less digits than its factorization.

18696816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 989 counting only the distinct ones).

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

The square root of 18696816 is about 4323.9814985728. The cubic root of 18696816 is about 265.4132202796.

The spelling of 18696816 in words is "eighteen million, six hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 827 942 1256 1413 1654 1884 2481 2512 2826 3308 3768 4962 5652 6616 7443 7536 9924 11304 13232 14886 19848 22608 29772 39696 59544 119088 129839 259678 389517 519356 779034 1038712 1168551 1558068 2077424 2337102 3116136 4674204 6232272 9348408 18696816