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5760664 = 2371341193
BaseRepresentation
bin10101111110011010011000
3101211200010221
4111332122120
52433320124
6323245424
766651640
oct25763230
911750127
105760664
113285088
121b19874
1312690a0
14a9d520
1578bce4
hex57e698

5760664 has 64 divisors (see below), whose sum is σ = 13688640. Its totient is φ = 2211840.

The previous prime is 5760661. The next prime is 5760679. The reversal of 5760664 is 4660675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29752 + ... + 29944.

It is an arithmetic number, because the mean of its divisors is an integer number (213885).

Almost surely, 25760664 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 5760664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844320).

5760664 is an abundant number, since it is smaller than the sum of its proper divisors (7927976).

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

5760664 is a wasteful number, since it uses less digits than its factorization.

5760664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 5760664 is about 2400.1383293469. The cubic root of 5760664 is about 179.2630776827.

The spelling of 5760664 in words is "five million, seven hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 164 182 193 287 328 364 386 533 574 728 772 1066 1148 1351 1544 2132 2296 2509 2702 3731 4264 5018 5404 7462 7913 10036 10808 14924 15826 17563 20072 29848 31652 35126 55391 63304 70252 102869 110782 140504 205738 221564 411476 443128 720083 822952 1440166 2880332 5760664