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540516100 = 225223235007
BaseRepresentation
bin100000001101111…
…001111100000100
31101200002001200211
4200031321330010
52101333003400
6125345045204
716252211455
oct4015717404
91350061624
10540516100
1125811a823
12131026804
1387c9c817
1451b0112c
15326bcdba
hex20379f04

540516100 has 36 divisors (see below), whose sum is σ = 1223921664. Its totient is φ = 206805280.

The previous prime is 540516073. The next prime is 540516103. The reversal of 540516100 is 1615045.

It is not an unprimeable number, because it can be changed into a prime (540516103) 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, 115204 + ... + 119803.

It is an arithmetic number, because the mean of its divisors is an integer number (33997824).

Almost surely, 2540516100 is an apocalyptic number.

540516100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540516100 is an abundant number, since it is smaller than the sum of its proper divisors (683405564).

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

540516100 is a wasteful number, since it uses less digits than its factorization.

540516100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235044 (or 235037 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 540516100 is about 23249.0021291237. The cubic root of 540516100 is about 814.5846303241.

The spelling of 540516100 in words is "five hundred forty million, five hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 235007 470014 940028 1175035 2350070 4700140 5405161 5875175 10810322 11750350 21620644 23500700 27025805 54051610 108103220 135129025 270258050 540516100