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640596100 = 225225312
BaseRepresentation
bin100110001011101…
…011100010000100
31122122101122122111
4212023223202010
52302443033400
6143322110404
721605656054
oct4613534204
91578348574
10640596100
112a9666371
1215a64b404
13a2940861
1461113564
153b38b3ba
hex262eb884

640596100 has 27 divisors (see below), whose sum is σ = 1390642981. Its totient is φ = 256137200.

The previous prime is 640596083. The next prime is 640596113. The reversal of 640596100 is 1695046.

The square root of 640596100 is 25310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 230614596 + 409981504 = 15186^2 + 20248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 251835 + ... + 254365.

Almost surely, 2640596100 is an apocalyptic number.

640596100 is the 25310-th square number.

It is an amenable number.

640596100 is an abundant number, since it is smaller than the sum of its proper divisors (750046881).

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

640596100 is an equidigital number, since it uses as much as digits as its factorization.

640596100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 640596100 is about 862.0413468467.

The spelling of 640596100 in words is "six hundred forty million, five hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2531 5062 10124 12655 25310 50620 63275 126550 253100 6405961 12811922 25623844 32029805 64059610 128119220 160149025 320298050 640596100