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58380 = 22357139
BaseRepresentation
bin1110010000001100
32222002020
432100030
53332010
61130140
7332130
oct162014
988066
1058380
113a953
1229950
132075a
14173c0
1512470
hexe40c

58380 has 48 divisors (see below), whose sum is σ = 188160. Its totient is φ = 13248.

The previous prime is 58379. The next prime is 58391. The reversal of 58380 is 8385.

It is a self number, because there is not a number n which added to its sum of digits gives 58380.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (3920).

258380 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 58380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94080).

58380 is an abundant number, since it is smaller than the sum of its proper divisors (129780).

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

58380 is a wasteful number, since it uses less digits than its factorization.

58380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 58380 is about 241.6195356340. The cubic root of 58380 is about 38.7931188421.

Adding to 58380 its product of nonzero digits (960), we get a triangular number (59340 = T344).

It can be divided in two parts, 5 and 8380, that added together give a triangular number (8385 = T129).

The spelling of 58380 in words is "fifty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 139 140 210 278 417 420 556 695 834 973 1390 1668 1946 2085 2780 2919 3892 4170 4865 5838 8340 9730 11676 14595 19460 29190 58380