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642726920 = 235111460743
BaseRepresentation
bin100110010011110…
…011110000001000
31122210101220120202
4212103303300020
52304014230140
6143435511332
721633042263
oct4623636010
91583356522
10642726920
112aa891280
1215b2b8548
13a32086b4
1461509cda
153b65c915
hex264f3c08

642726920 has 32 divisors (see below), whose sum is σ = 1577603520. Its totient is φ = 233718720.

The previous prime is 642726899. The next prime is 642726923. The reversal of 642726920 is 29627246.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (642726923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 729932 + ... + 730811.

It is an arithmetic number, because the mean of its divisors is an integer number (49300110).

Almost surely, 2642726920 is an apocalyptic number.

It is an amenable number.

642726920 is an abundant number, since it is smaller than the sum of its proper divisors (934876600).

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

642726920 is a wasteful number, since it uses less digits than its factorization.

642726920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460765 (or 1460761 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 642726920 is about 25352.0594824168. The cubic root of 642726920 is about 862.9960940732.

The spelling of 642726920 in words is "six hundred forty-two million, seven hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1460743 2921486 5842972 7303715 11685944 14607430 16068173 29214860 32136346 58429720 64272692 80340865 128545384 160681730 321363460 642726920