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643113540 = 223351190951
BaseRepresentation
bin100110010101010…
…010001001000100
31122211010112221000
4212111102021010
52304114113130
6143452053300
721636242406
oct4625221104
91584115830
10643113540
113000257a3
1215b464230
13a3312674
14615aab76
153b6d7260
hex26552244

643113540 has 48 divisors (see below), whose sum is σ = 2000799360. Its totient is φ = 171496800.

The previous prime is 643113533. The next prime is 643113571. The reversal of 643113540 is 45311346.

643113540 is a `hidden beast` number, since 6 + 4 + 3 + 113 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 594936 + ... + 596015.

It is an arithmetic number, because the mean of its divisors is an integer number (41683320).

Almost surely, 2643113540 is an apocalyptic number.

643113540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

643113540 is an abundant number, since it is smaller than the sum of its proper divisors (1357685820).

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

643113540 is a wasteful number, since it uses less digits than its factorization.

643113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190969 (or 1190961 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 643113540 is about 25359.6833576447. The cubic root of 643113540 is about 863.1690989484.

Adding to 643113540 its reverse (45311346), we get a palindrome (688424886).

The spelling of 643113540 in words is "six hundred forty-three million, one hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1190951 2381902 3572853 4763804 5954755 7145706 10718559 11909510 14291412 17864265 21437118 23819020 32155677 35728530 42874236 53592795 64311354 71457060 107185590 128622708 160778385 214371180 321556770 643113540