Search a number
-
+
13268540 = 2253072161
BaseRepresentation
bin110010100111…
…011000111100
3220222010000102
4302213120330
511344043130
61152220232
7220531535
oct62473074
926863012
1013268540
11754293a
12453a678
13299750c
141a9568c
151271645
hexca763c

13268540 has 24 divisors (see below), whose sum is σ = 27967632. Its totient is φ = 5287680.

The previous prime is 13268531. The next prime is 13268561. The reversal of 13268540 is 4586231.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5060 + ... + 7220.

It is an arithmetic number, because the mean of its divisors is an integer number (1165318).

Almost surely, 213268540 is an apocalyptic number.

13268540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13268540 is an abundant number, since it is smaller than the sum of its proper divisors (14699092).

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

13268540 is a wasteful number, since it uses less digits than its factorization.

13268540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 13268540 is about 3642.6007192664. The cubic root of 13268540 is about 236.7414914723.

The spelling of 13268540 in words is "thirteen million, two hundred sixty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 307 614 1228 1535 2161 3070 4322 6140 8644 10805 21610 43220 663427 1326854 2653708 3317135 6634270 13268540