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3125664 = 253210853
BaseRepresentation
bin1011111011000110100000
312212210121100
423323012200
51300010124
6150554400
735365503
oct13730640
95783540
103125664
1118453a3
121068a00
13855909
145b513a
1541b1c9
hex2fb1a0

3125664 has 36 divisors (see below), whose sum is σ = 8889426. Its totient is φ = 1041792.

The previous prime is 3125659. The next prime is 3125669. The reversal of 3125664 is 4665213.

3125664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3125659) and next prime (3125669).

It can be written as a sum of positive squares in only one way, i.e., 2624400 + 501264 = 1620^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (3125669) 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 5 ways as a sum of consecutive naturals, for example, 5139 + ... + 5714.

Almost surely, 23125664 is an apocalyptic number.

It is an amenable number.

3125664 is an abundant number, since it is smaller than the sum of its proper divisors (5763762).

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

3125664 is a wasteful number, since it uses less digits than its factorization.

3125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10869 (or 10858 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3125664 is about 1767.9547505522. The cubic root of 3125664 is about 146.2112410988.

The spelling of 3125664 in words is "three million, one hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10853 21706 32559 43412 65118 86824 97677 130236 173648 195354 260472 347296 390708 520944 781416 1041888 1562832 3125664