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642565020 = 223525142667
BaseRepresentation
bin100110010011001…
…100001110011100
31122210002200111110
4212103030032130
52303444040040
6143432222020
721631466256
oct4623141634
91583080443
10642565020
112aa790679
1215b23a910
13a317cab6
14614a6cd6
153b629980
hex264cc39c

642565020 has 48 divisors (see below), whose sum is σ = 1806392448. Its totient is φ = 170664000.

The previous prime is 642564983. The next prime is 642565037. The reversal of 642565020 is 20565246.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6274 + ... + 36393.

It is an arithmetic number, because the mean of its divisors is an integer number (37633176).

Almost surely, 2642565020 is an apocalyptic number.

642565020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642565020 is an abundant number, since it is smaller than the sum of its proper divisors (1163827428).

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

642565020 is a wasteful number, since it uses less digits than its factorization.

642565020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42930 (or 42928 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 642565020 is about 25348.8662468364. The cubic root of 642565020 is about 862.9236263857.

The spelling of 642565020 in words is "six hundred forty-two million, five hundred sixty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 251 502 753 1004 1255 1506 2510 3012 3765 5020 7530 15060 42667 85334 128001 170668 213335 256002 426670 512004 640005 853340 1280010 2560020 10709417 21418834 32128251 42837668 53547085 64256502 107094170 128513004 160641255 214188340 321282510 642565020