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5764704 = 2531153103
BaseRepresentation
bin10101111111011001100000
3101211212200120
4111333121200
52433432304
6323320240
766666501
oct25773140
911755616
105764704
113288120
121b20080
13126ab8a
14aa0ba8
1578d0d9
hex57f660

5764704 has 96 divisors (see below), whose sum is σ = 16982784. Its totient is φ = 1697280.

The previous prime is 5764699. The next prime is 5764721. The reversal of 5764704 is 4074675.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 55917 + ... + 56019.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 25764704 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 5764704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392).

5764704 is an abundant number, since it is smaller than the sum of its proper divisors (11218080).

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

5764704 is a wasteful number, since it uses less digits than its factorization.

5764704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 5764704 is about 2400.9797999983. The cubic root of 5764704 is about 179.3049741029.

The spelling of 5764704 in words is "five million, seven hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 103 106 132 159 176 206 212 264 309 318 352 412 424 528 583 618 636 824 848 1056 1133 1166 1236 1272 1648 1696 1749 2266 2332 2472 2544 3296 3399 3498 4532 4664 4944 5088 5459 6798 6996 9064 9328 9888 10918 13596 13992 16377 18128 18656 21836 27192 27984 32754 36256 43672 54384 55968 60049 65508 87344 108768 120098 131016 174688 180147 240196 262032 360294 480392 524064 720588 960784 1441176 1921568 2882352 5764704