Search a number
-
+
13086220 = 2257211443
BaseRepresentation
bin110001111010…
…111000001100
3220121211220211
4301322320030
511322224340
61144252204
7216142150
oct61727014
926554824
1013086220
117428964
124471064
132932534
141a49060
1512375ea
hexc7ae0c

13086220 has 48 divisors (see below), whose sum is σ = 31627008. Its totient is φ = 4455360.

The previous prime is 13086211. The next prime is 13086251. The reversal of 13086220 is 2268031.

13086220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13086191 and 13086200.

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, 29319 + ... + 29761.

It is an arithmetic number, because the mean of its divisors is an integer number (658896).

Almost surely, 213086220 is an apocalyptic number.

13086220 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 13086220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15813504).

13086220 is an abundant number, since it is smaller than the sum of its proper divisors (18540788).

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

13086220 is a wasteful number, since it uses less digits than its factorization.

13086220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 13086220 is about 3617.4880787640. The cubic root of 13086220 is about 235.6521496108.

The spelling of 13086220 in words is "thirteen million, eighty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 211 422 443 844 886 1055 1477 1772 2110 2215 2954 3101 4220 4430 5908 6202 7385 8860 12404 14770 15505 29540 31010 62020 93473 186946 373892 467365 654311 934730 1308622 1869460 2617244 3271555 6543110 13086220