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113530320 = 243251943193
BaseRepresentation
bin1101100010001…
…01010111010000
321220121221022200
412301011113100
5213030432240
615133203200
72545664121
oct661052720
9256557280
10113530320
11590a3012
1232030500
131a6a0207
1411114048
159e78930
hex6c455d0

113530320 has 240 divisors, whose sum is σ = 412800960. Its totient is φ = 27869184.

The previous prime is 113530297. The next prime is 113530321. The reversal of 113530320 is 23035311.

113530320 is a `hidden beast` number, since 113 + 530 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113530293 and 113530302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113530321) 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, 588144 + ... + 588336.

It is an arithmetic number, because the mean of its divisors is an integer number (1720004).

Almost surely, 2113530320 is an apocalyptic number.

113530320 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 113530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206400480).

113530320 is an abundant number, since it is smaller than the sum of its proper divisors (299270640).

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

113530320 is a wasteful number, since it uses less digits than its factorization.

113530320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 113530320 is about 10655.0607694184. The cubic root of 113530320 is about 484.2139390699.

Adding to 113530320 its reverse (23035311), we get a palindrome (136565631).

The spelling of 113530320 in words is "one hundred thirteen million, five hundred thirty thousand, three hundred twenty".