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640801560 = 233577191061
BaseRepresentation
bin100110001100011…
…101101100011000
31122122210002111010
4212030131230120
52303021122220
6143330333520
721610503060
oct4614355430
91578702433
10640801560
112a9796773
1215a72a2a0
13a29b3229
14611683a0
153b3cc1e0
hex2631db18

640801560 has 128 divisors (see below), whose sum is σ = 2202163200. Its totient is φ = 146127360.

The previous prime is 640801559. The next prime is 640801561. The reversal of 640801560 is 65108046.

It is an interprime number because it is at equal distance from previous prime (640801559) and next prime (640801561).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640801561) 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, 603430 + ... + 604490.

It is an arithmetic number, because the mean of its divisors is an integer number (17204400).

Almost surely, 2640801560 is an apocalyptic number.

640801560 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 640801560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101081600).

640801560 is an abundant number, since it is smaller than the sum of its proper divisors (1561361640).

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

640801560 is a wasteful number, since it uses less digits than its factorization.

640801560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 640801560 is about 25314.0585446111. The cubic root of 640801560 is about 862.1334985592.

The spelling of 640801560 in words is "six hundred forty million, eight hundred one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 719 840 1061 1438 2122 2157 2876 3183 3595 4244 4314 5033 5305 5752 6366 7190 7427 8488 8628 10066 10610 10785 12732 14380 14854 15099 15915 17256 20132 21220 21570 22281 25165 25464 28760 29708 30198 31830 37135 40264 42440 43140 44562 50330 59416 60396 63660 74270 75495 86280 89124 100660 111405 120792 127320 148540 150990 178248 201320 222810 297080 301980 445620 603960 762859 891240 1525718 2288577 3051436 3814295 4577154 5340013 6102872 7628590 9154308 10680026 11442885 15257180 16020039 18308616 21360052 22885770 26700065 30514360 32040078 42720104 45771540 53400130 64080156 80100195 91543080 106800260 128160312 160200390 213600520 320400780 640801560