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2661864 = 233197563
BaseRepresentation
bin1010001001110111101000
312000020101120
422021313220
51140134424
6133015240
731424352
oct12116750
95006346
102661864
111558997
12a84520
1372278a
144d40d2
15378a79
hex289de8

2661864 has 32 divisors (see below), whose sum is σ = 6700320. Its totient is φ = 881216.

The previous prime is 2661863. The next prime is 2661871. The reversal of 2661864 is 4681662.

It is a happy number.

2661864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2661863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4447 + ... + 5009.

It is an arithmetic number, because the mean of its divisors is an integer number (209385).

22661864 is an apocalyptic number.

2661864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2661864 is an abundant number, since it is smaller than the sum of its proper divisors (4038456).

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

2661864 is a wasteful number, since it uses less digits than its factorization.

2661864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 765 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2661864 is about 1631.5219888190. The cubic root of 2661864 is about 138.5889552656.

The spelling of 2661864 in words is "two million, six hundred sixty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 197 394 563 591 788 1126 1182 1576 1689 2252 2364 3378 4504 4728 6756 13512 110911 221822 332733 443644 665466 887288 1330932 2661864