Search a number
-
+
112644636 = 223133492069
BaseRepresentation
bin1101011011011…
…01001000011100
321211221221101120
412231231020130
5212314112021
615102210540
72535315006
oct655551034
9254857346
10112644636
1158648645
1231883a50
131a450040
1410d63376
159d512c6
hex6b6d21c

112644636 has 48 divisors (see below), whose sum is σ = 284004000. Its totient is φ = 34543872.

The previous prime is 112644617. The next prime is 112644647. The reversal of 112644636 is 636446211.

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 = 112644597 and 112644606.

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, 53410 + ... + 55478.

It is an arithmetic number, because the mean of its divisors is an integer number (5916750).

Almost surely, 2112644636 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 112644636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142002000).

112644636 is an abundant number, since it is smaller than the sum of its proper divisors (171359364).

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

112644636 is a wasteful number, since it uses less digits than its factorization.

112644636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2436 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 112644636 is about 10613.4177341703. The cubic root of 112644636 is about 482.9514844814.

The spelling of 112644636 in words is "one hundred twelve million, six hundred forty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 349 698 1047 1396 2069 2094 4138 4188 4537 6207 8276 9074 12414 13611 18148 24828 26897 27222 53794 54444 80691 107588 161382 322764 722081 1444162 2166243 2888324 4332486 8664972 9387053 18774106 28161159 37548212 56322318 112644636