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540456 = 23373217
BaseRepresentation
bin10000011111100101000
31000110100220
42003330220
5114243311
615330040
74410450
oct2037450
91013326
10540456
1133a064
12220920
1315bcc7
14100d60
15aa206
hex83f28

540456 has 32 divisors (see below), whose sum is σ = 1544640. Its totient is φ = 154368.

The previous prime is 540437. The next prime is 540461. The reversal of 540456 is 654045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1441 + ... + 1776.

It is an arithmetic number, because the mean of its divisors is an integer number (48270).

2540456 is an apocalyptic number.

540456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

540456 is an abundant number, since it is smaller than the sum of its proper divisors (1004184).

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

540456 is a wasteful number, since it uses less digits than its factorization.

540456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 540456 is about 735.1571260622. The cubic root of 540456 is about 81.4554437976.

It can be divided in two parts, 5404 and 56, that added together give a triangular number (5460 = T104).

The spelling of 540456 in words is "five hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3217 6434 9651 12868 19302 22519 25736 38604 45038 67557 77208 90076 135114 180152 270228 540456