Search a number
-
+
58132520 = 23517531613
BaseRepresentation
bin1101110111000…
…0100000101000
311001101102211022
43131300200220
5104340220040
65433552012
71304055365
oct335604050
9131342738
1058132520
112a8a5906
1217575608
13c074c54
147a1346c
1551846b5
hex3770828

58132520 has 64 divisors (see below), whose sum is σ = 141192720. Its totient is φ = 21458944.

The previous prime is 58132519. The next prime is 58132553. The reversal of 58132520 is 2523185.

It can be written as a sum of positive squares in 8 ways, for example, as 43217476 + 14915044 = 6574^2 + 3862^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 58132520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35234 + ... + 36846.

Almost surely, 258132520 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 58132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70596360).

58132520 is an abundant number, since it is smaller than the sum of its proper divisors (83060200).

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

58132520 is a wasteful number, since it uses less digits than its factorization.

58132520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 58132520 is about 7624.4685060665. The cubic root of 58132520 is about 387.3822493421.

The spelling of 58132520 in words is "fifty-eight million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 68 85 106 136 170 212 265 340 424 530 680 901 1060 1613 1802 2120 3226 3604 4505 6452 7208 8065 9010 12904 16130 18020 27421 32260 36040 54842 64520 85489 109684 137105 170978 219368 274210 341956 427445 548420 683912 854890 1096840 1453313 1709780 2906626 3419560 5813252 7266565 11626504 14533130 29066260 58132520