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540056 = 231117192
BaseRepresentation
bin10000011110110011000
31000102211002
42003312120
5114240211
615324132
74406336
oct2036630
91012732
10540056
11339830
12220648
1315ba7a
14100b56
15aa03b
hex83d98

540056 has 48 divisors (see below), whose sum is σ = 1234440. Its totient is φ = 218880.

The previous prime is 540041. The next prime is 540061. The reversal of 540056 is 650045.

It is a congruent number.

It is an unprimeable number.

540056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28415 + ... + 28433.

2540056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617220).

540056 is an abundant number, since it is smaller than the sum of its proper divisors (694384).

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

540056 is a wasteful number, since it uses less digits than its factorization.

540056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 540056 is about 734.8850250209. The cubic root of 540056 is about 81.4353433521.

The spelling of 540056 in words is "five hundred forty thousand, fifty-six".

Divisors: 1 2 4 8 11 17 19 22 34 38 44 68 76 88 136 152 187 209 323 361 374 418 646 722 748 836 1292 1444 1496 1672 2584 2888 3553 3971 6137 7106 7942 12274 14212 15884 24548 28424 31768 49096 67507 135014 270028 540056