Search a number
-
+
13258260 = 22325731009
BaseRepresentation
bin110010100100…
…111000010100
3220221120220200
4302210320110
511343231020
61152100500
7220456551
oct62447024
926846820
1013258260
117536144
124534730
132992932
141a91a28
15126d590
hexca4e14

13258260 has 72 divisors (see below), whose sum is σ = 40808040. Its totient is φ = 3483648.

The previous prime is 13258243. The next prime is 13258261. The reversal of 13258260 is 6285231.

It can be written as a sum of positive squares in 4 ways, for example, as 853776 + 12404484 = 924^2 + 3522^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13258261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12636 + ... + 13644.

Almost surely, 213258260 is an apocalyptic number.

13258260 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 13258260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20404020).

13258260 is an abundant number, since it is smaller than the sum of its proper divisors (27549780).

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

13258260 is a wasteful number, since it uses less digits than its factorization.

13258260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13258260 is about 3641.1893661275. The cubic root of 13258260 is about 236.6803360043.

The spelling of 13258260 in words is "thirteen million, two hundred fifty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1009 1095 1314 1460 2018 2190 2628 3027 3285 4036 4380 5045 6054 6570 9081 10090 12108 13140 15135 18162 20180 30270 36324 45405 60540 73657 90810 147314 181620 220971 294628 368285 441942 662913 736570 883884 1104855 1325826 1473140 2209710 2651652 3314565 4419420 6629130 13258260