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540987900 = 223521803293
BaseRepresentation
bin100000001111101…
…101000111111100
31101200222000212220
4200033231013330
52101443103100
6125403125340
716256215125
oct4017550774
91350860786
10540987900
11258412242
12131213850
13881064ab
1451bc504c
1532762aa0
hex203ed1fc

540987900 has 36 divisors (see below), whose sum is σ = 1565259192. Its totient is φ = 144263360.

The previous prime is 540987877. The next prime is 540987911. The reversal of 540987900 is 9789045.

540987900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 901347 + ... + 901946.

It is an arithmetic number, because the mean of its divisors is an integer number (43479422).

Almost surely, 2540987900 is an apocalyptic number.

540987900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540987900 is an abundant number, since it is smaller than the sum of its proper divisors (1024271292).

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

540987900 is a wasteful number, since it uses less digits than its factorization.

540987900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803310 (or 1803303 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 540987900 is about 23259.1465879555. The cubic root of 540987900 is about 814.8215700822.

The spelling of 540987900 in words is "five hundred forty million, nine hundred eighty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1803293 3606586 5409879 7213172 9016465 10819758 18032930 21639516 27049395 36065860 45082325 54098790 90164650 108197580 135246975 180329300 270493950 540987900