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2696768 = 26291453
BaseRepresentation
bin1010010010011001000000
312002000021022
422102121000
51142244033
6133445012
731631204
oct12223100
95060238
102696768
111582138
12aa0768
13735629
14502b04
15384098
hex292640

2696768 has 28 divisors (see below), whose sum is σ = 5539740. Its totient is φ = 1300992.

The previous prime is 2696731. The next prime is 2696779. The reversal of 2696768 is 8676962.

It can be written as a sum of positive squares in 2 ways, for example, as 2166784 + 529984 = 1472^2 + 728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1130 + ... + 2582.

22696768 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 2696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769870).

2696768 is an abundant number, since it is smaller than the sum of its proper divisors (2842972).

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

2696768 is a wasteful number, since it uses less digits than its factorization.

2696768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1484 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 2696768 is about 1642.1839117468. The cubic root of 2696768 is about 139.1920812864.

The spelling of 2696768 in words is "two million, six hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1453 1856 2906 5812 11624 23248 42137 46496 84274 92992 168548 337096 674192 1348384 2696768