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16313864 = 237241617
BaseRepresentation
bin111110001110…
…111000001000
31010200211102012
4332032320020
513134020424
61341355052
7255444200
oct76167010
933624365
1016313864
119232936
125568a88
1334c2698
142249400
151673b0e
hexf8ee08

16313864 has 24 divisors (see below), whose sum is σ = 35583390. Its totient is φ = 6991488.

The previous prime is 16313851. The next prime is 16313867. The reversal of 16313864 is 46831361.

16313864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8236900 + 8076964 = 2870^2 + 2842^2 .

It is a super-2 number, since 2×163138642 = 532284317220992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16313864.

It is not an unprimeable number, because it can be changed into a prime (16313867) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20417 + ... + 21200.

Almost surely, 216313864 is an apocalyptic number.

16313864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16313864 is an abundant number, since it is smaller than the sum of its proper divisors (19269526).

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

16313864 is a wasteful number, since it uses less digits than its factorization.

16313864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41637 (or 41626 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 16313864 is about 4039.0424607820. The cubic root of 16313864 is about 253.6212347088.

The spelling of 16313864 in words is "sixteen million, three hundred thirteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 41617 83234 166468 291319 332936 582638 1165276 2039233 2330552 4078466 8156932 16313864