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56040 = 2335467
BaseRepresentation
bin1101101011101000
32211212120
431223220
53243130
61111240
7322245
oct155350
984776
1056040
1139116
1228520
131c67a
14165cc
1511910
hexdae8

56040 has 32 divisors (see below), whose sum is σ = 168480. Its totient is φ = 14912.

The previous prime is 56039. The next prime is 56041. The reversal of 56040 is 4065.

It is an interprime number because it is at equal distance from previous prime (56039) and next prime (56041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (56041) 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, 114 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

256040 is an apocalyptic number.

It is an amenable number.

56040 is an abundant number, since it is smaller than the sum of its proper divisors (112440).

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 (84240).

56040 is a wasteful number, since it uses less digits than its factorization.

56040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 56040 is about 236.7276916628. The cubic root of 56040 is about 38.2677306836.

The spelling of 56040 in words is "fifty-six thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 467 934 1401 1868 2335 2802 3736 4670 5604 7005 9340 11208 14010 18680 28020 56040