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540636100 = 22525406361
BaseRepresentation
bin100000001110010…
…111001111000100
31101200022011022021
4200032113033010
52101400323400
6125351412524
716253221354
oct4016271704
91350264267
10540636100
112581a19a4
12131084144
1388012324
1451b32b64
15326e371a
hex203973c4

540636100 has 18 divisors (see below), whose sum is σ = 1173180554. Its totient is φ = 216254400.

The previous prime is 540636097. The next prime is 540636101. The reversal of 540636100 is 1636045.

It can be written as a sum of positive squares in 3 ways, for example, as 4528384 + 536107716 = 2128^2 + 23154^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (540636101) 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 5 ways as a sum of consecutive naturals, for example, 2703081 + ... + 2703280.

Almost surely, 2540636100 is an apocalyptic number.

540636100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540636100 is an abundant number, since it is smaller than the sum of its proper divisors (632544454).

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

540636100 is a wasteful number, since it uses less digits than its factorization.

540636100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406375 (or 5406368 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 540636100 is about 23251.5827418264. The cubic root of 540636100 is about 814.6449078518.

The spelling of 540636100 in words is "five hundred forty million, six hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5406361 10812722 21625444 27031805 54063610 108127220 135159025 270318050 540636100