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1640325800 = 235212016829
BaseRepresentation
bin110000111000101…
…0110001010101000
311020022120011222102
41201301112022220
511324410411200
6430433512532
755435352651
oct14161261250
94208504872
101640325800
11771a15063
12399412748
13201ab49a9
14117bd0528
15990176d5
hex61c562a8

1640325800 has 48 divisors (see below), whose sum is σ = 3817491900. Its totient is φ = 655488000.

The previous prime is 1640325787. The next prime is 1640325809. The reversal of 1640325800 is 85230461.

It can be written as a sum of positive squares in 6 ways, for example, as 136282276 + 1504043524 = 11674^2 + 38782^2 .

It is a super-3 number, since 3×16403258003 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1640325809) 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 11 ways as a sum of consecutive naturals, for example, 236786 + ... + 243614.

Almost surely, 21640325800 is an apocalyptic number.

1640325800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1640325800 is an abundant number, since it is smaller than the sum of its proper divisors (2177166100).

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

1640325800 is a wasteful number, since it uses less digits than its factorization.

1640325800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8046 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 1640325800 is about 40500.9357916580. The cubic root of 1640325800 is about 1179.3517937532.

The spelling of 1640325800 in words is "one billion, six hundred forty million, three hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1201 2402 4804 6005 6829 9608 12010 13658 24020 27316 30025 34145 48040 54632 60050 68290 120100 136580 170725 240200 273160 341450 682900 1365800 8201629 16403258 32806516 41008145 65613032 82016290 164032580 205040725 328065160 410081450 820162900 1640325800