Search a number
-
+
112120776 = 23328917497
BaseRepresentation
bin1101010111011…
…01001111001000
321210222022210100
412223231033020
5212200331101
615043045400
72531003505
oct653551710
9253868710
10112120776
115831aaa9
1231670860
131a2c8771
1410c684ac
159c9ae86
hex6aed3c8

112120776 has 48 divisors (see below), whose sum is σ = 307089900. Its totient is φ = 36951552.

The previous prime is 112120759. The next prime is 112120783. The reversal of 112120776 is 677021211.

It can be written as a sum of positive squares in 2 ways, for example, as 83283876 + 28836900 = 9126^2 + 5370^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2341 + ... + 15156.

Almost surely, 2112120776 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 112120776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153544950).

112120776 is an abundant number, since it is smaller than the sum of its proper divisors (194969124).

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

112120776 is a wasteful number, since it uses less digits than its factorization.

112120776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17598 (or 17591 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 112120776 is about 10588.7098364248. The cubic root of 112120776 is about 482.2016568664.

Adding to 112120776 its reverse (677021211), we get a palindrome (789141987).

It can be divided in two parts, 112120 and 776, that added together give a square (112896 = 3362).

The spelling of 112120776 in words is "one hundred twelve million, one hundred twenty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 17497 34994 52491 69988 104982 139976 157473 209964 314946 419928 629892 1259784 1557233 3114466 4671699 6228932 9343398 12457864 14015097 18686796 28030194 37373592 56060388 112120776