Search a number
-
+
113245776 = 243671973
BaseRepresentation
bin1101011111111…
…11111001010000
321220002111000000
412233333321100
5212442331101
615123130000
72543400420
oct657777120
9256074000
10113245776
1158a19256
1231b13900
131a600847
141107c480
159e1e486
hex6bffe50

113245776 has 280 divisors, whose sum is σ = 401174720. Its totient is φ = 30233088.

The previous prime is 113245771. The next prime is 113245777. The reversal of 113245776 is 677542311.

It is a happy number.

113245776 is a `hidden beast` number, since 1 + 132 + 457 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113245776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113245771) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1551276 + ... + 1551348.

Almost surely, 2113245776 is an apocalyptic number.

113245776 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 113245776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200587360).

113245776 is an abundant number, since it is smaller than the sum of its proper divisors (287928944).

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

113245776 is an equidigital number, since it uses as much as digits as its factorization.

113245776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 113245776 is about 10641.6998642134. The cubic root of 113245776 is about 483.8090679630.

The spelling of 113245776 in words is "one hundred thirteen million, two hundred forty-five thousand, seven hundred seventy-six".