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664302560 = 25523971861
BaseRepresentation
bin100111100110000…
…111001111100000
31201022000001210112
4213212013033200
52330030140220
6145530150452
722314323105
oct4746071740
91638001715
10664302560
11310a88389
12166582428
13a782104c
1464324aac
153d4c05c5
hex279873e0

664302560 has 96 divisors (see below), whose sum is σ = 1655422272. Its totient is φ = 251412480.

The previous prime is 664302539. The next prime is 664302563. The reversal of 664302560 is 65203466.

664302560 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664302563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356030 + ... + 357890.

It is an arithmetic number, because the mean of its divisors is an integer number (17243982).

Almost surely, 2664302560 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 664302560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827711136).

664302560 is an abundant number, since it is smaller than the sum of its proper divisors (991119712).

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

664302560 is a wasteful number, since it uses less digits than its factorization.

664302560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 664302560 is about 25774.0675874027. The cubic root of 664302560 is about 872.5466230152.

The spelling of 664302560 in words is "six hundred sixty-four million, three hundred two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 97 115 160 184 194 230 368 388 460 485 736 776 920 970 1552 1840 1861 1940 2231 3104 3680 3722 3880 4462 7444 7760 8924 9305 11155 14888 15520 17848 18610 22310 29776 35696 37220 42803 44620 59552 71392 74440 85606 89240 148880 171212 178480 180517 214015 297760 342424 356960 361034 428030 684848 722068 856060 902585 1369696 1444136 1712120 1805170 2888272 3424240 3610340 4151891 5776544 6848480 7220680 8303782 14441360 16607564 20759455 28882720 33215128 41518910 66430256 83037820 132860512 166075640 332151280 664302560