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16312864 = 25612137
BaseRepresentation
bin111110001110…
…101000100000
31010200210001011
4332032220200
513134002424
61341350304
7255441241
oct76165040
933623034
1016312864
119232107
125568394
1334c20a9
142248cc8
151673694
hexf8ea20

16312864 has 36 divisors (see below), whose sum is σ = 32889402. Its totient is φ = 7964160.

The previous prime is 16312841. The next prime is 16312871. The reversal of 16312864 is 46821361.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5475600 + 10837264 = 2340^2 + 3292^2 .

It is a super-2 number, since 2×163128642 = 532219063764992, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 119004 + ... + 119140.

Almost surely, 216312864 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 16312864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444701).

16312864 is an abundant number, since it is smaller than the sum of its proper divisors (16576538).

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

16312864 is an equidigital number, since it uses as much as digits as its factorization.

16312864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 200 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 16312864 is about 4038.9186671682. The cubic root of 16312864 is about 253.6160524823.

The spelling of 16312864 in words is "sixteen million, three hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 122 137 244 274 488 548 976 1096 1952 2192 3721 4384 7442 8357 14884 16714 29768 33428 59536 66856 119072 133712 267424 509777 1019554 2039108 4078216 8156432 16312864