Search a number
-
+
13261020 = 22351713001
BaseRepresentation
bin110010100101…
…100011011100
3220221201200220
4302211203130
511343323040
61152121340
7220500603
oct62454334
926851626
1013261020
117538223
124536250
132993c76
141a92a3a
15126e2d0
hexca58dc

13261020 has 48 divisors (see below), whose sum is σ = 39318048. Its totient is φ = 3328000.

The previous prime is 13261009. The next prime is 13261021. The reversal of 13261020 is 2016231.

13261020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13261021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5481 + ... + 7520.

It is an arithmetic number, because the mean of its divisors is an integer number (819126).

Almost surely, 213261020 is an apocalyptic number.

13261020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13261020 is an abundant number, since it is smaller than the sum of its proper divisors (26057028).

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

13261020 is a wasteful number, since it uses less digits than its factorization.

13261020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13030 (or 13028 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13261020 is about 3641.5683434476. The cubic root of 13261020 is about 236.6967582800.

Adding to 13261020 its reverse (2016231), we get a palindrome (15277251).

It can be divided in two parts, 1326 and 1020, that added together give a triangular number (2346 = T68).

The spelling of 13261020 in words is "thirteen million, two hundred sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 13001 26002 39003 52004 65005 78006 130010 156012 195015 221017 260020 390030 442034 663051 780060 884068 1105085 1326102 2210170 2652204 3315255 4420340 6630510 13261020