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540113976 = 23327501583
BaseRepresentation
bin100000001100010…
…111110000111000
31101122022122002100
4200030113300320
52101232121401
6125332303400
716245615213
oct4014276070
91348278070
10540113976
11257975696
12130a71b60
1387b8b78c
1451a3877a
153263db86
hex20317c38

540113976 has 24 divisors (see below), whose sum is σ = 1462808880. Its totient is φ = 180037968.

The previous prime is 540113971. The next prime is 540113983. The reversal of 540113976 is 679311045.

540113976 is a `hidden beast` number, since 540 + 11 + 39 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 540113976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540113971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3750720 + ... + 3750863.

It is an arithmetic number, because the mean of its divisors is an integer number (60950370).

Almost surely, 2540113976 is an apocalyptic number.

It is an amenable number.

540113976 is an abundant number, since it is smaller than the sum of its proper divisors (922694904).

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

540113976 is a wasteful number, since it uses less digits than its factorization.

540113976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7501595 (or 7501588 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 540113976 is about 23240.3523209094. The cubic root of 540113976 is about 814.3825732559.

The spelling of 540113976 in words is "five hundred forty million, one hundred thirteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7501583 15003166 22504749 30006332 45009498 60012664 67514247 90018996 135028494 180037992 270056988 540113976