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641731980 = 2235174331453
BaseRepresentation
bin100110010000000…
…000110110001100
31122201112100210010
4212100000312030
52303240410410
6143402313220
721621426501
oct4620006614
91581470703
10641731980
112aa27180a
1215aab8810
13a2c4a886
146132b4a8
153b512c20
hex26400d8c

641731980 has 96 divisors (see below), whose sum is σ = 1908252864. Its totient is φ = 160579584.

The previous prime is 641731949. The next prime is 641731991. The reversal of 641731980 is 89137146.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440934 + ... + 442386.

It is an arithmetic number, because the mean of its divisors is an integer number (19877634).

Almost surely, 2641731980 is an apocalyptic number.

641731980 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 641731980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954126432).

641731980 is an abundant number, since it is smaller than the sum of its proper divisors (1266520884).

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

641731980 is a wasteful number, since it uses less digits than its factorization.

641731980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 641731980 is about 25332.4294136982. The cubic root of 641731980 is about 862.5505586830.

The spelling of 641731980 in words is "six hundred forty-one million, seven hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 433 510 866 1020 1299 1453 1732 2165 2598 2906 4330 4359 5196 5812 6495 7265 7361 8660 8718 12990 14530 14722 17436 21795 22083 24701 25980 29060 29444 36805 43590 44166 49402 73610 74103 87180 88332 98804 110415 123505 147220 148206 220830 247010 296412 370515 441660 494020 629149 741030 1258298 1482060 1887447 2516596 3145745 3774894 6291490 7549788 9437235 10695533 12582980 18874470 21391066 32086599 37748940 42782132 53477665 64173198 106955330 128346396 160432995 213910660 320865990 641731980