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13052580 = 2235832621
BaseRepresentation
bin110001110010…
…101010100100
3220120010202220
4301302222210
511320140310
61143432340
7215642112
oct61625244
926503686
1013052580
117405662
1244556b0
132920128
141a3aab2
15122c670
hexc72aa4

13052580 has 48 divisors (see below), whose sum is σ = 37001664. Its totient is φ = 3437440.

The previous prime is 13052579. The next prime is 13052587. The reversal of 13052580 is 8525031.

It is a self number, because there is not a number n which added to its sum of digits gives 13052580.

It is not an unprimeable number, because it can be changed into a prime (13052587) by changing a digit.

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, 3670 + ... + 6290.

It is an arithmetic number, because the mean of its divisors is an integer number (770868).

Almost surely, 213052580 is an apocalyptic number.

13052580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13052580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500832).

13052580 is an abundant number, since it is smaller than the sum of its proper divisors (23949084).

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

13052580 is a wasteful number, since it uses less digits than its factorization.

13052580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 13052580 is about 3612.8354515533. The cubic root of 13052580 is about 235.4500504862.

The spelling of 13052580 in words is "thirteen million, fifty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 2621 4980 5242 7863 10484 13105 15726 26210 31452 39315 52420 78630 157260 217543 435086 652629 870172 1087715 1305258 2175430 2610516 3263145 4350860 6526290 13052580