Search a number
-
+
7966665 = 325723613
BaseRepresentation
bin11110011000111111001001
3112222202012200
4132120333021
54014413130
6442430413
7124500300
oct36307711
915882180
107966665
114551523
122802409
13185c205
1410b5437
15a75760
hex798fc9

7966665 has 36 divisors (see below), whose sum is σ = 16067844. Its totient is φ = 3640896.

The previous prime is 7966663. The next prime is 7966691. The reversal of 7966665 is 5666697.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 7112889 = 924^2 + 2667^2 .

It is not a de Polignac number, because 7966665 - 21 = 7966663 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 7966665.

It is not an unprimeable number, because it can be changed into a prime (7966663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 399 + ... + 4011.

It is an arithmetic number, because the mean of its divisors is an integer number (446329).

Almost surely, 27966665 is an apocalyptic number.

It is an amenable number.

7966665 is an abundant number, since it is smaller than the sum of its proper divisors (8101179).

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

7966665 is a wasteful number, since it uses less digits than its factorization.

7966665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 3628 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 7966665 is about 2822.5281220920. The cubic root of 7966665 is about 199.7218215966.

Subtracting from 7966665 its reverse (5666697), we obtain a cube (2299968 = 1323).

The spelling of 7966665 in words is "seven million, nine hundred sixty-six thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 3613 10839 18065 25291 32517 54195 75873 126455 162585 177037 227619 379365 531111 885185 1138095 1593333 2655555 7966665