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6946965 = 345171009
BaseRepresentation
bin11010100000000010010101
3111001221110000
4122200002111
53234300330
6404521513
7113022354
oct32400225
914057400
106946965
113a153a3
1223b0299
13159303c
14ccb99b
15923560
hex6a0095

6946965 has 40 divisors (see below), whose sum is σ = 13198680. Its totient is φ = 3483648.

The previous prime is 6946963. The next prime is 6946969. The reversal of 6946965 is 5696496.

It can be written as a sum of positive squares in 4 ways, for example, as 910116 + 6036849 = 954^2 + 2457^2 .

It is not a de Polignac number, because 6946965 - 21 = 6946963 is a prime.

It is a super-2 number, since 2×69469652 = 96520645422450, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6946965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6946963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6381 + ... + 7389.

It is an arithmetic number, because the mean of its divisors is an integer number (329967).

Almost surely, 26946965 is an apocalyptic number.

It is an amenable number.

6946965 is a deficient number, since it is larger than the sum of its proper divisors (6251715).

6946965 is a wasteful number, since it uses less digits than its factorization.

6946965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1034 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 6946965 is about 2635.7095818773. The cubic root of 6946965 is about 190.8087868269.

The spelling of 6946965 in words is "six million, nine hundred forty-six thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 1009 1377 2295 3027 5045 6885 9081 15135 17153 27243 45405 51459 81729 85765 136215 154377 257295 408645 463131 771885 1389393 2315655 6946965