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113827868 = 227111672213
BaseRepresentation
bin1101100100011…
…10000000011100
321221012001110222
412302032000130
5213114442433
615143420512
72551343450
oct662160034
9257161428
10113827868
1159286620
1232154738
131a77578b
1411190660
159ed6b98
hex6c8e01c

113827868 has 48 divisors (see below), whose sum is σ = 249951744. Its totient is φ = 44063040.

The previous prime is 113827867. The next prime is 113827907. The reversal of 113827868 is 868728311.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113827867) 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, 50330 + ... + 52542.

It is an arithmetic number, because the mean of its divisors is an integer number (5207328).

Almost surely, 2113827868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113827868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124975872).

113827868 is an abundant number, since it is smaller than the sum of its proper divisors (136123876).

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

113827868 is a wasteful number, since it uses less digits than its factorization.

113827868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2400 counting only the distinct ones).

The product of its digits is 129024, while the sum is 44.

The square root of 113827868 is about 10669.0143874680. The cubic root of 113827868 is about 484.6365903442.

The spelling of 113827868 in words is "one hundred thirteen million, eight hundred twenty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 167 308 334 668 1169 1837 2213 2338 3674 4426 4676 7348 8852 12859 15491 24343 25718 30982 48686 51436 61964 97372 170401 340802 369571 681604 739142 1478284 2586997 4065281 5173994 8130562 10347988 16261124 28456967 56913934 113827868