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5768604 = 2233311723
BaseRepresentation
bin10110000000010110011100
3101212002001000
4112000112130
52434043404
6323350300
7100014042
oct26002634
911762030
105768604
113290046
121b22390
13126c89a
14aa2392
1578e339
hex58059c

5768604 has 48 divisors (see below), whose sum is σ = 15447040. Its totient is φ = 1859760.

The previous prime is 5768599. The next prime is 5768629. The reversal of 5768604 is 4068675.

It is a happy number.

5768604 is a `hidden beast` number, since 576 + 86 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2487 + ... + 4209.

Almost surely, 25768604 is an apocalyptic number.

5768604 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5768604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7723520).

5768604 is an abundant number, since it is smaller than the sum of its proper divisors (9678436).

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

5768604 is a wasteful number, since it uses less digits than its factorization.

5768604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5768604 is about 2401.7918311128. The cubic root of 5768604 is about 179.3454001023.

It can be divided in two parts, 576 and 8604, that added together give a triangular number (9180 = T135).

The spelling of 5768604 in words is "five million, seven hundred sixty-eight thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 1723 3348 3446 5169 6892 10338 15507 20676 31014 46521 53413 62028 93042 106826 160239 186084 213652 320478 480717 640956 961434 1442151 1922868 2884302 5768604