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664158720 = 2935175087
BaseRepresentation
bin100111100101100…
…100001000000000
31201021201202111010
4213211210020000
52330011034340
6145523120520
722313153541
oct4745441000
91637652433
10664158720
1131099a305
12166513140
13a77a0734
14642c84c8
153d492b80
hex27964200

664158720 has 160 divisors (see below), whose sum is σ = 2248570368. Its totient is φ = 166658048.

The previous prime is 664158707. The next prime is 664158727. The reversal of 664158720 is 27851466.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×6641587202 = 882213610704076800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (664158727) 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, 128017 + ... + 133103.

Almost surely, 2664158720 is an apocalyptic number.

664158720 is a gapful number since it is divisible by the number (60) 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 664158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124285184).

664158720 is an abundant number, since it is smaller than the sum of its proper divisors (1584411648).

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

664158720 is a wasteful number, since it uses less digits than its factorization.

664158720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5130 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 664158720 is about 25771.2770347144. The cubic root of 664158720 is about 872.4836415901.

The spelling of 664158720 in words is "six hundred sixty-four million, one hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1536 1632 1920 2040 2176 2560 2720 3264 3840 4080 4352 5087 5440 6528 7680 8160 8704 10174 10880 13056 15261 16320 20348 21760 25435 26112 30522 32640 40696 43520 50870 61044 65280 76305 81392 86479 101740 122088 130560 152610 162784 172958 203480 244176 259437 305220 325568 345916 406960 432395 488352 518874 610440 651136 691832 813920 864790 976704 1037748 1220880 1297185 1302272 1383664 1627840 1729580 1953408 2075496 2441760 2594370 2604544 2767328 3255680 3459160 3906816 4150992 4883520 5188740 5534656 6511360 6918320 7813632 8301984 9767040 10377480 11069312 13022720 13836640 16603968 19534080 20754960 22138624 27673280 33207936 39068160 41509920 44277248 55346560 66415872 83019840 110693120 132831744 166039680 221386240 332079360 664158720