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58080 = 2535112
BaseRepresentation
bin1110001011100000
32221200010
432023200
53324310
61124520
7331221
oct161340
987603
1058080
113a700
1229740
1320589
1417248
1512320
hexe2e0

58080 has 72 divisors (see below), whose sum is σ = 201096. Its totient is φ = 14080.

The previous prime is 58073. The next prime is 58099. The reversal of 58080 is 8085.

It is a Cunningham number, because it is equal to 2412-1.

It is a congruent number.

It is an unprimeable number.

58080 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 11 ways as a sum of consecutive naturals, for example, 5275 + ... + 5285.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

258080 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 58080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548).

58080 is an abundant number, since it is smaller than the sum of its proper divisors (143016).

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

58080 is a wasteful number, since it uses less digits than its factorization.

58080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 58080 is about 240.9979253023. The cubic root of 58080 is about 38.7265553639.

The spelling of 58080 in words is "fifty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080