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112940406 = 2342392917
BaseRepresentation
bin1101011101101…
…01010101110110
321212111222010000
412232311111312
5212403043111
615112412130
72540656215
oct656652566
9255458100
10112940406
115882a887
12319a7046
131a524857
1410ddd07c
159dadc56
hex6bb5576

112940406 has 40 divisors (see below), whose sum is σ = 254216160. Its totient is φ = 37476432.

The previous prime is 112940393. The next prime is 112940437. The reversal of 112940406 is 604049211.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112940406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37260 + ... + 40176.

It is an arithmetic number, because the mean of its divisors is an integer number (6355404).

Almost surely, 2112940406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112940406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127108080).

112940406 is an abundant number, since it is smaller than the sum of its proper divisors (141275754).

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

112940406 is a wasteful number, since it uses less digits than its factorization.

112940406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3161 counting only the distinct ones).

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

The square root of 112940406 is about 10627.3423770950. The cubic root of 112940406 is about 483.3738088445.

Adding to 112940406 its reverse (604049211), we get a palindrome (716989617).

The spelling of 112940406 in words is "one hundred twelve million, nine hundred forty thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 239 478 717 1434 2151 2917 4302 5834 6453 8751 12906 17502 19359 26253 38718 52506 78759 157518 236277 472554 697163 1394326 2091489 4182978 6274467 12548934 18823401 37646802 56470203 112940406