Search a number
-
+
112084668 = 22331636367
BaseRepresentation
bin1101010111001…
…00011010111100
321210220111021000
412223210122330
5212143202133
615042210300
72530463313
oct653443274
9253814230
10112084668
11582a5963
1231653990
131a2b51b7
1410c5927a
159c90413
hex6ae46bc

112084668 has 48 divisors (see below), whose sum is σ = 292418560. Its totient is φ = 37126512.

The previous prime is 112084657. The next prime is 112084673. The reversal of 112084668 is 866480211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14421 + ... + 20787.

Almost surely, 2112084668 is an apocalyptic number.

112084668 is a gapful number since it is divisible by the number (18) 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 112084668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146209280).

112084668 is an abundant number, since it is smaller than the sum of its proper divisors (180333892).

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

112084668 is a wasteful number, since it uses less digits than its factorization.

112084668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6543 (or 6535 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 112084668 is about 10587.0046755444. The cubic root of 112084668 is about 482.1498876717.

It can be divided in two parts, 11208 and 4668, that added together give a square (15876 = 1262).

The spelling of 112084668 in words is "one hundred twelve million, eighty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 163 326 489 652 978 1467 1956 2934 4401 5868 6367 8802 12734 17604 19101 25468 38202 57303 76404 114606 171909 229212 343818 687636 1037821 2075642 3113463 4151284 6226926 9340389 12453852 18680778 28021167 37361556 56042334 112084668