[go: up one dir, main page]

Search a number
-
+
58068580 = 22531731283
BaseRepresentation
bin1101110110000…
…0111001100100
311001021012010011
43131200321210
5104331143310
65432340004
71303401103
oct335407144
9131235104
1058068580
112a861869
1217544604
13c051b0b
1479d803a
15517078a
hex3760e64

58068580 has 48 divisors (see below), whose sum is σ = 127701504. Its totient is φ = 22152960.

The previous prime is 58068511. The next prime is 58068631. The reversal of 58068580 is 8586085.

58068580 = T479 + T480 + ... + T770.

58068580 is nontrivially palindromic in base 3.

58068580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44619 + ... + 45901.

It is an arithmetic number, because the mean of its divisors is an integer number (2660448).

Almost surely, 258068580 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 58068580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63850752).

58068580 is an abundant number, since it is smaller than the sum of its proper divisors (69632924).

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

58068580 is a wasteful number, since it uses less digits than its factorization.

58068580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The square root of 58068580 is about 7620.2742732791. The cubic root of 58068580 is about 387.2401699013.

The spelling of 58068580 in words is "fifty-eight million, sixty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 31 62 73 124 146 155 292 310 365 620 730 1283 1460 2263 2566 4526 5132 6415 9052 11315 12830 22630 25660 39773 45260 79546 93659 159092 187318 198865 374636 397730 468295 795460 936590 1873180 2903429 5806858 11613716 14517145 29034290 58068580