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55940 = 2252797
BaseRepresentation
bin1101101010000100
32211201212
431222010
53242230
61110552
7322043
oct155204
984655
1055940
1139035
1228458
131c601
141655a
1511895
hexda84

55940 has 12 divisors (see below), whose sum is σ = 117516. Its totient is φ = 22368.

The previous prime is 55933. The next prime is 55949. The reversal of 55940 is 4955.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 24964 = 176^2 + 158^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (55949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1379 + ... + 1418.

It is an arithmetic number, because the mean of its divisors is an integer number (9793).

255940 is an apocalyptic number.

It is an amenable number.

55940 is an abundant number, since it is smaller than the sum of its proper divisors (61576).

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 (58758).

55940 is a wasteful number, since it uses less digits than its factorization.

55940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 55940 is about 236.5163842105. The cubic root of 55940 is about 38.2449549785.

The spelling of 55940 in words is "fifty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 2797 5594 11188 13985 27970 55940