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2568704 = 2929173
BaseRepresentation
bin1001110011001000000000
311211111121012
421303020000
51124144304
6131020052
730555635
oct11631000
94744535
102568704
1114a49a6
12a3a628
136bc258
144ac18c
1535b16e
hex273200

2568704 has 40 divisors (see below), whose sum is σ = 5340060. Its totient is φ = 1232896.

The previous prime is 2568703. The next prime is 2568719. The reversal of 2568704 is 4078652.

It can be written as a sum of positive squares in 2 ways, for example, as 2408704 + 160000 = 1552^2 + 400^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 215 + 5 + 68 + 85 + 77 + 0 + 4 .

It is not an unprimeable number, because it can be changed into a prime (2568701) by changing a digit.

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, 14762 + ... + 14934.

22568704 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 2568704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670030).

2568704 is an abundant number, since it is smaller than the sum of its proper divisors (2771356).

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

2568704 is an equidigital number, since it uses as much as digits as its factorization.

2568704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2568704 is about 1602.7176919221. The cubic root of 2568704 is about 136.9529381749.

The spelling of 2568704 in words is "two million, five hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 173 232 256 346 464 512 692 928 1384 1856 2768 3712 5017 5536 7424 10034 11072 14848 20068 22144 40136 44288 80272 88576 160544 321088 642176 1284352 2568704