Search a number
-
+
111125072 = 2419438501
BaseRepresentation
bin1101001111110…
…10001001010000
321202002201221102
412213322021100
5211422000242
615005443532
72516355542
oct647721120
9252081842
10111125072
11577aaa03
12312705a8
131a03a4a6
1410a89692
159b50e32
hex69fa250

111125072 has 40 divisors (see below), whose sum is σ = 231934560. Its totient is φ = 51408000.

The previous prime is 111125051. The next prime is 111125081. The reversal of 111125072 is 270521111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8822 + ... + 17322.

It is an arithmetic number, because the mean of its divisors is an integer number (5798364).

Almost surely, 2111125072 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 111125072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115967280).

111125072 is an abundant number, since it is smaller than the sum of its proper divisors (120809488).

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

111125072 is a wasteful number, since it uses less digits than its factorization.

111125072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8571 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 111125072 is about 10541.5877361999. The cubic root of 111125072 is about 480.7699910119.

Adding to 111125072 its reverse (270521111), we get a palindrome (381646183).

The spelling of 111125072 in words is "one hundred eleven million, one hundred twenty-five thousand, seventy-two".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 344 688 817 1634 3268 6536 8501 13072 17002 34004 68008 136016 161519 323038 365543 646076 731086 1292152 1462172 2584304 2924344 5848688 6945317 13890634 27781268 55562536 111125072