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113532040 = 23543149443
BaseRepresentation
bin1101100010001…
…01110010001000
321220122000200101
412301011302020
5213031011130
615133215144
72546002126
oct661056210
9256560611
10113532040
11590a4336
12320314b4
131a6a0c2b
1411114916
159e791ca
hex6c45c88

113532040 has 64 divisors (see below), whose sum is σ = 263736000. Its totient is φ = 43959552.

The previous prime is 113531987. The next prime is 113532047. The reversal of 113532040 is 40235311.

It is a junction number, because it is equal to n+sod(n) for n = 113531999 and 113532017.

It is not an unprimeable number, because it can be changed into a prime (113532047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256059 + ... + 256501.

It is an arithmetic number, because the mean of its divisors is an integer number (4120875).

Almost surely, 2113532040 is an apocalyptic number.

113532040 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 113532040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131868000).

113532040 is an abundant number, since it is smaller than the sum of its proper divisors (150203960).

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

113532040 is a wasteful number, since it uses less digits than its factorization.

113532040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 113532040 is about 10655.1414819326. The cubic root of 113532040 is about 484.2163843602.

Adding to 113532040 its reverse (40235311), we get a palindrome (153767351).

The spelling of 113532040 in words is "one hundred thirteen million, five hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 149 172 215 298 344 430 443 596 745 860 886 1192 1490 1720 1772 2215 2980 3544 4430 5960 6407 8860 12814 17720 19049 25628 32035 38098 51256 64070 66007 76196 95245 128140 132014 152392 190490 256280 264028 330035 380980 528056 660070 761960 1320140 2640280 2838301 5676602 11353204 14191505 22706408 28383010 56766020 113532040