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16309664 = 257174283
BaseRepresentation
bin111110001101…
…110110100000
31010200121122122
4332031312200
513133402124
61341323412
7255426020
oct76156640
933617578
1016309664
11922a768
125566568
1334c07b7
142247a80
15167275e
hexf8dda0

16309664 has 48 divisors (see below), whose sum is σ = 38864448. Its totient is φ = 6577152.

The previous prime is 16309663. The next prime is 16309669. The reversal of 16309664 is 46690361.

It is not an unprimeable number, because it can be changed into a prime (16309663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1667 + ... + 5949.

It is an arithmetic number, because the mean of its divisors is an integer number (809676).

Almost surely, 216309664 is an apocalyptic number.

16309664 is a gapful number since it is divisible by the number (14) 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 16309664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432224).

16309664 is an abundant number, since it is smaller than the sum of its proper divisors (22554784).

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

16309664 is a wasteful number, since it uses less digits than its factorization.

16309664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 16309664 is about 4038.5225021040. The cubic root of 16309664 is about 253.5994679340.

The spelling of 16309664 in words is "sixteen million, three hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 4283 8566 17132 29981 34264 59962 68528 72811 119924 137056 145622 239848 291244 479696 509677 582488 959392 1019354 1164976 2038708 2329952 4077416 8154832 16309664