Search a number
-
+
58520 = 23571119
BaseRepresentation
bin1110010010011000
32222021102
432102120
53333040
61130532
7332420
oct162230
988242
1058520
113aa70
1229a48
1320837
1417480
1512515
hexe498

58520 has 64 divisors (see below), whose sum is σ = 172800. Its totient is φ = 17280.

The previous prime is 58511. The next prime is 58537. The reversal of 58520 is 2585.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 58492 and 58501.

It is a congruent number.

It is an unprimeable number.

58520 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 15 ways as a sum of consecutive naturals, for example, 3071 + ... + 3089.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

258520 is an apocalyptic number.

58520 is the 140-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

58520 is an abundant number, since it is smaller than the sum of its proper divisors (114280).

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

58520 is a wasteful number, since it uses less digits than its factorization.

58520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 58520 is about 241.9090738273. The cubic root of 58520 is about 38.8241037744.

58520 divided by its sum of digits (20) gives a triangular number (2926 = T76).

The spelling of 58520 in words is "fifty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 418 440 532 616 665 760 770 836 1045 1064 1330 1463 1540 1672 2090 2660 2926 3080 4180 5320 5852 7315 8360 11704 14630 29260 58520