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2661696 = 26324621
BaseRepresentation
bin1010001001110101000000
312000020011100
422021311000
51140133241
6133014400
731424022
oct12116500
95006140
102661696
111558854
12a84400
1372268b
144d4012
153789b6
hex289d40

2661696 has 42 divisors (see below), whose sum is σ = 7630922. Its totient is φ = 887040.

The previous prime is 2661689. The next prime is 2661731. The reversal of 2661696 is 6961662.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2143296 + 518400 = 1464^2 + 720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2661696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1735 + ... + 2886.

22661696 is an apocalyptic number.

It is an amenable number.

2661696 is an abundant number, since it is smaller than the sum of its proper divisors (4969226).

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

2661696 is a wasteful number, since it uses less digits than its factorization.

2661696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639 (or 4626 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2661696 is about 1631.4705023383. The cubic root of 2661696 is about 138.5860395851.

The spelling of 2661696 in words is "two million, six hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4621 9242 13863 18484 27726 36968 41589 55452 73936 83178 110904 147872 166356 221808 295744 332712 443616 665424 887232 1330848 2661696