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640807002 = 2321123223631
BaseRepresentation
bin100110001100011…
…111000001011010
31122122210100221200
4212030133001122
52303021311002
6143330415030
721610524663
oct4614370132
91578710850
10640807002
112a979a870
1215a731476
13a29b5854
146116a36a
153b3cdb1c
hex2631f05a

640807002 has 96 divisors (see below), whose sum is σ = 1590091776. Its totient is φ = 184615200.

The previous prime is 640806989. The next prime is 640807003. The reversal of 640807002 is 200708046.

It is a super-2 number, since 2×6408070022 = 821267227624456008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (640807003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015227 + ... + 1015857.

It is an arithmetic number, because the mean of its divisors is an integer number (16563456).

Almost surely, 2640807002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640807002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795045888).

640807002 is an abundant number, since it is smaller than the sum of its proper divisors (949284774).

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

640807002 is a wasteful number, since it uses less digits than its factorization.

640807002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 640807002 is about 25314.1660340608. The cubic root of 640807002 is about 862.1359391053.

The spelling of 640807002 in words is "six hundred forty million, eight hundred seven thousand, two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 223 253 414 446 506 631 669 759 1262 1338 1518 1893 2007 2277 2453 3786 4014 4554 4906 5129 5679 6941 7359 10258 11358 13882 14513 14718 15387 20823 22077 29026 30774 41646 43539 44154 46161 56419 62469 87078 92322 112838 124938 130617 140713 159643 169257 261234 281426 319286 338514 422139 478929 507771 844278 957858 1015542 1266417 1436787 1547843 2532834 2873574 3095686 3236399 4643529 6472798 9287058 9709197 13930587 19418394 27861174 29127591 35600389 58255182 71200778 106801167 213602334 320403501 640807002