Search a number
-
+
113135456 = 2571573217
BaseRepresentation
bin1101011111001…
…00111101100000
321212212212200002
412233210331200
5212430313311
615120515132
72542430660
oct657447540
9255785602
10113135456
1158953385
1231a7baa8
131a592575
14110501a0
159deb93b
hex6be4f60

113135456 has 48 divisors (see below), whose sum is σ = 256255776. Its totient is φ = 48162816.

The previous prime is 113135437. The next prime is 113135471. The reversal of 113135456 is 654531311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33560 + ... + 36776.

It is an arithmetic number, because the mean of its divisors is an integer number (5338662).

Almost surely, 2113135456 is an apocalyptic number.

113135456 is a gapful number since it is divisible by the number (16) 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 113135456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128127888).

113135456 is an abundant number, since it is smaller than the sum of its proper divisors (143120320).

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

113135456 is a wasteful number, since it uses less digits than its factorization.

113135456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3383 counting only the distinct ones).

The product of its digits is 5400, while the sum is 29.

The square root of 113135456 is about 10636.5152188111. The cubic root of 113135456 is about 483.6519137354.

Adding to 113135456 its reverse (654531311), we get a palindrome (767666767).

The spelling of 113135456 in words is "one hundred thirteen million, one hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 314 628 1099 1256 2198 2512 3217 4396 5024 6434 8792 12868 17584 22519 25736 35168 45038 51472 90076 102944 180152 360304 505069 720608 1010138 2020276 3535483 4040552 7070966 8081104 14141932 16162208 28283864 56567728 113135456