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540064900 = 22525400649
BaseRepresentation
bin100000001100001…
…011110010000100
31101122020010202201
4200030023302010
52101224034100
6125331244244
716245322144
oct4014136204
91348203681
10540064900
11257941831
12130a49684
1387b7233b
1451a24924
153262e36a
hex2030bc84

540064900 has 18 divisors (see below), whose sum is σ = 1171941050. Its totient is φ = 216025920.

The previous prime is 540064897. The next prime is 540065003. The reversal of 540064900 is 9460045.

It can be written as a sum of positive squares in 3 ways, for example, as 134606404 + 405458496 = 11602^2 + 20136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2700225 + ... + 2700424.

Almost surely, 2540064900 is an apocalyptic number.

540064900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540064900 is an abundant number, since it is smaller than the sum of its proper divisors (631876150).

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

540064900 is a wasteful number, since it uses less digits than its factorization.

540064900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400663 (or 5400656 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 540064900 is about 23239.2964609517. The cubic root of 540064900 is about 814.3579069500.

The spelling of 540064900 in words is "five hundred forty million, sixty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5400649 10801298 21602596 27003245 54006490 108012980 135016225 270032450 540064900