55080 has 80 divisors (see below), whose sum is σ = 196020. Its totient is φ = 13824.

The previous prime is 55079. The next prime is 55103. The reversal of 55080 is 8055.

It can be divided in two parts, 550 and 80, that added together give a triangular number (630 = T_{35}).

55080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 54756 + 324 = 234^2 + 18^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 51 × 45 × 24.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3232 + ... + 3248.

2^{55080} 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 55080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98010).

55080 is an abundant number, since it is smaller than the sum of its proper divisors (140940).

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

55080 is a wasteful number, since it uses less digits than its factorization.

55080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 55080 is about 234.6912865873. The cubic root of 55080 is about 38.0479542323.

The spelling of 55080 in words is "fifty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 55080

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