Search a number
-
+
113571360 = 25325719593
BaseRepresentation
bin1101100010011…
…11011000100000
321220201000121200
412301033120200
5213033240420
615134121200
72546224560
oct661173040
9256630550
10113571360
1159120931
1232050200
131a6b5ab6
1411124da0
159e85b90
hex6c4f620

113571360 has 288 divisors, whose sum is σ = 467026560. Its totient is φ = 24551424.

The previous prime is 113571349. The next prime is 113571361. The reversal of 113571360 is 63175311.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (113571361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191224 + ... + 191816.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2113571360 is an apocalyptic number.

113571360 is a gapful number since it is divisible by the number (10) 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 113571360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233513280).

113571360 is an abundant number, since it is smaller than the sum of its proper divisors (353455200).

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

113571360 is a wasteful number, since it uses less digits than its factorization.

113571360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 113571360 is about 10656.9864408284. The cubic root of 113571360 is about 484.2722780993.

The spelling of 113571360 in words is "one hundred thirteen million, five hundred seventy-one thousand, three hundred sixty".