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640362000 = 24353106727
BaseRepresentation
bin100110001010110…
…010011000010000
31122121221202112010
4212022302120100
52302413041000
6143313102520
721603662415
oct4612623020
91577852463
10640362000
112a95164a3
1215a557a40
13a288b135
146109210c
153b341d50
hex262b2610

640362000 has 80 divisors (see below), whose sum is σ = 2064546432. Its totient is φ = 170761600.

The previous prime is 640361999. The next prime is 640362007. The reversal of 640362000 is 263046.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (640362007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47364 + ... + 59363.

Almost surely, 2640362000 is an apocalyptic number.

640362000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

640362000 is an abundant number, since it is smaller than the sum of its proper divisors (1424184432).

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

640362000 is a wasteful number, since it uses less digits than its factorization.

640362000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106753 (or 106737 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 640362000 is about 25305.3749231265. The cubic root of 640362000 is about 861.9363256709.

The spelling of 640362000 in words is "six hundred forty million, three hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 106727 213454 320181 426908 533635 640362 853816 1067270 1280724 1600905 1707632 2134540 2561448 2668175 3201810 4269080 5122896 5336350 6403620 8004525 8538160 10672700 12807240 13340875 16009050 21345400 25614480 26681750 32018100 40022625 42690800 53363500 64036200 80045250 106727000 128072400 160090500 213454000 320181000 640362000