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56140 = 2257401
BaseRepresentation
bin1101101101001100
32212000021
431231030
53244030
61111524
7322450
oct155514
985007
1056140
11391a7
12285a4
131c726
1416660
151197a
hexdb4c

56140 has 24 divisors (see below), whose sum is σ = 135072. Its totient is φ = 19200.

The previous prime is 56131. The next prime is 56149. The reversal of 56140 is 4165.

It is an interprime number because it is at equal distance from previous prime (56131) and next prime (56149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (5628).

256140 is an apocalyptic number.

It is an amenable number.

56140 is an abundant number, since it is smaller than the sum of its proper divisors (78932).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67536).

56140 is a wasteful number, since it uses less digits than its factorization.

56140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 56140 is about 236.9388106664. The cubic root of 56140 is about 38.2904793102.

It can be divided in two parts, 56 and 140, that added together give a square (196 = 142).

The spelling of 56140 in words is "fifty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 401 802 1604 2005 2807 4010 5614 8020 11228 14035 28070 56140