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113243832 = 2335134481
BaseRepresentation
bin1101011111111…
…11011010111000
321220002101100000
412233333122320
5212442300312
615123113000
72543361642
oct657773270
9256071300
10113243832
1158a17849
1231b12760
131a5cc9b0
141107b892
159e1dadc
hex6bff6b8

113243832 has 96 divisors (see below), whose sum is σ = 342604080. Its totient is φ = 34836480.

The previous prime is 113243831. The next prime is 113243839. The reversal of 113243832 is 238342311.

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 = 113243796 and 113243805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113243831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23032 + ... + 27512.

Almost surely, 2113243832 is an apocalyptic number.

113243832 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 113243832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171302040).

113243832 is an abundant number, since it is smaller than the sum of its proper divisors (229360248).

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

113243832 is a wasteful number, since it uses less digits than its factorization.

113243832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4499 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 113243832 is about 10641.6085250304. The cubic root of 113243832 is about 483.8062995589.

The spelling of 113243832 in words is "one hundred thirteen million, two hundred forty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 4481 6318 8424 8962 12636 13443 17924 25272 26886 35848 40329 53772 58253 80658 107544 116506 120987 161316 174759 233012 241974 322632 349518 362961 466024 483948 524277 699036 725922 967896 1048554 1088883 1398072 1451844 1572831 2097108 2177766 2903688 3145662 4194216 4355532 4718493 6291324 8711064 9436986 12582648 14155479 18873972 28310958 37747944 56621916 113243832