Search a number
-
+
112325000 = 23554493
BaseRepresentation
bin1101011000111…
…11000110001000
321211100200221012
412230133012020
5212223400000
615051303052
72532514064
oct654370610
9254320835
10112325000
115844a487
123174aa88
131a36a6c8
1410cbcaa4
159cdb735
hex6b1f188

112325000 has 48 divisors (see below), whose sum is σ = 263303460. Its totient is φ = 44920000.

The previous prime is 112324969. The next prime is 112325041. The reversal of 112325000 is 523211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7396 + 112317604 = 86^2 + 10598^2 .

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 11 ways as a sum of consecutive naturals, for example, 22754 + ... + 27246.

Almost surely, 2112325000 is an apocalyptic number.

112325000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131651730).

112325000 is an abundant number, since it is smaller than the sum of its proper divisors (150978460).

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

112325000 is an frugal number, since it uses more digits than its factorization.

112325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 112325000 is about 10598.3489280170. The cubic root of 112325000 is about 482.4942503364.

Adding to 112325000 its reverse (523211), we get a palindrome (112848211).

The spelling of 112325000 in words is "one hundred twelve million, three hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 4493 5000 6250 8986 12500 17972 22465 25000 35944 44930 89860 112325 179720 224650 449300 561625 898600 1123250 2246500 2808125 4493000 5616250 11232500 14040625 22465000 28081250 56162500 112325000