Search a number
-
+
16875664 = 24132792
BaseRepresentation
bin100000001100…
…0000010010000
31011202101001121
41000120002100
513310010124
61401412024
7263304121
oct100300220
934671047
1016875664
119586a33
12579a014
13365b300
142354048
1517352e4
hex1018090

16875664 has 45 divisors (see below), whose sum is σ = 35859033. Its totient is φ = 7690176.

The previous prime is 16875647. The next prime is 16875673. The reversal of 16875664 is 46657861.

It is a happy number.

The square root of 16875664 is 4108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2496400 + 14379264 = 1580^2 + 3792^2 .

It is a Duffinian number.

Its product of digits (241920) is a multiple of the sum of its prime factors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 16875664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 213577 + ... + 213655.

Almost surely, 216875664 is an apocalyptic number.

16875664 is the 4108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16875664

16875664 is an abundant number, since it is smaller than the sum of its proper divisors (18983369).

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

16875664 is an equidigital number, since it uses as much as digits as its factorization.

16875664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 94 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The cubic root of 16875664 is about 256.4997561767.

The spelling of 16875664 in words is "sixteen million, eight hundred seventy-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 169 208 316 338 632 676 1027 1264 1352 2054 2704 4108 6241 8216 12482 13351 16432 24964 26702 49928 53404 81133 99856 106808 162266 213616 324532 649064 1054729 1298128 2109458 4218916 8437832 16875664