Search a number
-
+
112128080 = 2451401601
BaseRepresentation
bin1101010111011…
…11000001010000
321210222200210212
412223233001100
5212201044310
615043143252
72531034011
oct653570120
9253880725
10112128080
1158325539
1231674b28
131a2cbb9c
1410c6b008
159c9d205
hex6aef050

112128080 has 20 divisors (see below), whose sum is σ = 260697972. Its totient is φ = 44851200.

The previous prime is 112128067. The next prime is 112128089. The reversal of 112128080 is 80821211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33131536 + 78996544 = 5756^2 + 8888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112128089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 700721 + ... + 700880.

Almost surely, 2112128080 is an apocalyptic number.

112128080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112128080 is an abundant number, since it is smaller than the sum of its proper divisors (148569892).

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

112128080 is a wasteful number, since it uses less digits than its factorization.

112128080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401614 (or 1401608 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 112128080 is about 10589.0547264617. The cubic root of 112128080 is about 482.2121274933.

Adding to 112128080 its reverse (80821211), we get a palindrome (192949291).

The spelling of 112128080 in words is "one hundred twelve million, one hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1401601 2803202 5606404 7008005 11212808 14016010 22425616 28032020 56064040 112128080