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664051300 = 2252111035861
BaseRepresentation
bin100111100101001…
…001111001100100
31201021112022010121
4213211021321210
52324444120200
6145520531324
722312225423
oct4745117144
91637468117
10664051300
11310926630
12166480b44
13a7763883
146429b2ba
153d470e1a
hex27949e64

664051300 has 72 divisors (see below), whose sum is σ = 1587523392. Its totient is φ = 239088000.

The previous prime is 664051187. The next prime is 664051301. The reversal of 664051300 is 3150466.

664051300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (664051301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110370 + ... + 116230.

It is an arithmetic number, because the mean of its divisors is an integer number (22048936).

Almost surely, 2664051300 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 664051300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793761696).

664051300 is an abundant number, since it is smaller than the sum of its proper divisors (923472092).

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

664051300 is a wasteful number, since it uses less digits than its factorization.

664051300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5989 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 664051300 is about 25769.1928472740. The cubic root of 664051300 is about 872.4366010041.

The spelling of 664051300 in words is "six hundred sixty-four million, fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 1030 1100 1133 2060 2266 2575 4532 5150 5665 5861 10300 11330 11722 22660 23444 28325 29305 56650 58610 64471 113300 117220 128942 146525 257884 293050 322355 586100 603683 644710 1207366 1289420 1611775 2414732 3018415 3223550 6036830 6447100 6640513 12073660 13281026 15092075 26562052 30184150 33202565 60368300 66405130 132810260 166012825 332025650 664051300