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55880 = 23511127
BaseRepresentation
bin1101101001001000
32211122122
431221020
53242010
61110412
7321626
oct155110
984578
1055880
1138a90
1228408
131c586
1416516
1511855
hexda48

55880 has 32 divisors (see below), whose sum is σ = 138240. Its totient is φ = 20160.

The previous prime is 55871. The next prime is 55889. The reversal of 55880 is 8855.

55880 = T147 + T148 + ... + T151.

It is an interprime number because it is at equal distance from previous prime (55871) and next prime (55889).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (55889) by changing a digit.

55880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 377 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

255880 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 55880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120).

55880 is an abundant number, since it is smaller than the sum of its proper divisors (82360).

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

55880 is a wasteful number, since it uses less digits than its factorization.

55880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 55880 is about 236.3895090735. The cubic root of 55880 is about 38.2312765241.

It can be divided in two parts, 55 and 880, that multiplied together give a square (48400 = 2202).

The spelling of 55880 in words is "fifty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 127 220 254 440 508 635 1016 1270 1397 2540 2794 5080 5588 6985 11176 13970 27940 55880