[go: up one dir, main page]

Search a number
-
+
13236100 = 2252132361
BaseRepresentation
bin110010011111…
…011110000100
3220220110111221
4302133132010
511342023400
61151410124
7220335133
oct62373604
926813457
1013236100
117520529
124523944
132985817
141a8791a
151266c1a
hexc9f784

13236100 has 18 divisors (see below), whose sum is σ = 28722554. Its totient is φ = 5294400.

The previous prime is 13236053. The next prime is 13236107. The reversal of 13236100 is 163231.

It can be written as a sum of positive squares in 3 ways, for example, as 2359296 + 10876804 = 1536^2 + 3298^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13236107) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 66081 + ... + 66280.

Almost surely, 213236100 is an apocalyptic number.

13236100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13236100 is an abundant number, since it is smaller than the sum of its proper divisors (15486454).

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

13236100 is a wasteful number, since it uses less digits than its factorization.

13236100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132375 (or 132368 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 13236100 is about 3638.1451317945. The cubic root of 13236100 is about 236.5483991073.

Adding to 13236100 its reverse (163231), we get a palindrome (13399331).

The spelling of 13236100 in words is "thirteen million, two hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 132361 264722 529444 661805 1323610 2647220 3309025 6618050 13236100