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640442160 = 24335479619
BaseRepresentation
bin100110001011000…
…101111100110000
31122122002211111000
4212023011330300
52302423122120
6143314522000
721604445211
oct4613057460
91578084430
10640442160
112a9570746
1215a596300
13a28b8777
14610b3408
153b35a990
hex262c5f30

640442160 has 160 divisors (see below), whose sum is σ = 2214144000. Its totient is φ = 170152704.

The previous prime is 640442147. The next prime is 640442167. The reversal of 640442160 is 61244046.

640442160 is a `hidden beast` number, since 64 + 0 + 442 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (640442167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1034331 + ... + 1034949.

It is an arithmetic number, because the mean of its divisors is an integer number (13838400).

Almost surely, 2640442160 is an apocalyptic number.

640442160 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 640442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107072000).

640442160 is an abundant number, since it is smaller than the sum of its proper divisors (1573701840).

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

640442160 is a wasteful number, since it uses less digits than its factorization.

640442160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 640442160 is about 25306.9587268008. The cubic root of 640442160 is about 861.9722896690.

The spelling of 640442160 in words is "six hundred forty million, four hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 479 540 619 720 958 1080 1238 1437 1857 1916 2160 2395 2476 2874 3095 3714 3832 4311 4790 4952 5571 5748 6190 7185 7428 7664 8622 9285 9580 9904 11142 11496 12380 12933 14370 14856 16713 17244 18570 19160 21555 22284 22992 24760 25866 27855 28740 29712 33426 34488 37140 38320 43110 44568 49520 51732 55710 57480 64665 66852 68976 74280 83565 86220 89136 103464 111420 114960 129330 133704 148560 167130 172440 206928 222840 258660 267408 296501 334260 344880 445680 517320 593002 668520 889503 1034640 1186004 1337040 1482505 1779006 2372008 2668509 2965010 3558012 4447515 4744016 5337018 5930020 7116024 8005527 8895030 10674036 11860040 13342545 14232048 16011054 17790060 21348072 23720080 26685090 32022108 35580120 40027635 42696144 53370180 64044216 71160240 80055270 106740360 128088432 160110540 213480720 320221080 640442160