Search a number
-
+
16275664 = 2417531129
BaseRepresentation
bin111110000101…
…100011010000
31010121220000101
4332011203100
513131310124
61340502144
7255224626
oct76054320
933556011
1016275664
119207169
12554a954
1334ab192
142239516
151667644
hexf858d0

16275664 has 40 divisors (see below), whose sum is σ = 34049160. Its totient is φ = 7507968.

The previous prime is 16275643. The next prime is 16275691. The reversal of 16275664 is 46657261.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 13690000 = 1608^2 + 3700^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 13852 + ... + 14980.

It is an arithmetic number, because the mean of its divisors is an integer number (851229).

Almost surely, 216275664 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 16275664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17024580).

16275664 is an abundant number, since it is smaller than the sum of its proper divisors (17773496).

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

16275664 is a wasteful number, since it uses less digits than its factorization.

16275664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1201 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 16275664 is about 4034.3108457331. The cubic root of 16275664 is about 253.4231229887.

The spelling of 16275664 in words is "sixteen million, two hundred seventy-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1129 1802 2258 3604 4516 7208 9032 14416 18064 19193 38386 59837 76772 119674 153544 239348 307088 478696 957392 1017229 2034458 4068916 8137832 16275664