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113681232 = 243574177
BaseRepresentation
bin1101100011010…
…10001101010000
321220220121100000
412301222031100
5213100244412
615140330000
72550163110
oct661521520
9256817300
10113681232
1159196435
12320a3900
131a723b02
1411153040
159ea84dc
hex6c6a350

113681232 has 120 divisors (see below), whose sum is σ = 377156416. Its totient is φ = 32472576.

The previous prime is 113681231. The next prime is 113681251. The reversal of 113681232 is 232186311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113681196 and 113681205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113681231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25128 + ... + 29304.

Almost surely, 2113681232 is an apocalyptic number.

113681232 is a gapful number since it is divisible by the number (12) 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 113681232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188578208).

113681232 is an abundant number, since it is smaller than the sum of its proper divisors (263475184).

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

113681232 is an equidigital number, since it uses as much as digits as its factorization.

113681232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4189 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 113681232 is about 10662.1401228834. The cubic root of 113681232 is about 484.4283937922.

The spelling of 113681232 in words is "one hundred thirteen million, six hundred eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4177 4536 6804 8354 9072 12531 13608 16708 25062 27216 29239 33416 37593 50124 58478 66832 75186 87717 100248 112779 116956 150372 175434 200496 225558 233912 263151 300744 338337 350868 451116 467824 526302 601488 676674 701736 789453 902232 1015011 1052604 1353348 1403472 1578906 1804464 2030022 2105208 2368359 2706696 3157812 4060044 4210416 4736718 5413392 6315624 7105077 8120088 9473436 12631248 14210154 16240176 18946872 28420308 37893744 56840616 113681232