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16268064 = 253971747
BaseRepresentation
bin111110000011…
…101100100000
31010121111120220
4332003230200
513131034224
61340403040
7255163521
oct76035440
933544526
1016268064
11920148a
125546480
1334a7897
142236848
151665279
hexf83b20

16268064 has 48 divisors (see below), whose sum is σ = 43168608. Its totient is φ = 5363712.

The previous prime is 16268059. The next prime is 16268071. The reversal of 16268064 is 46086261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 8439 + ... + 10185.

It is an arithmetic number, because the mean of its divisors is an integer number (899346).

Almost surely, 216268064 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 16268064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21584304).

16268064 is an abundant number, since it is smaller than the sum of its proper divisors (26900544).

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

16268064 is a wasteful number, since it uses less digits than its factorization.

16268064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 16268064 is about 4033.3688152709. The cubic root of 16268064 is about 253.3836711298.

The spelling of 16268064 in words is "sixteen million, two hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 1747 2328 3104 3494 4656 5241 6988 9312 10482 13976 20964 27952 41928 55904 83856 167712 169459 338918 508377 677836 1016754 1355672 2033508 2711344 4067016 5422688 8134032 16268064