Search a number
-
+
112200048 = 24323892003
BaseRepresentation
bin1101011000000…
…00100101110000
321211010100112100
412230000211300
5212210400143
615044500400
72531453562
oct654004560
9254110470
10112200048
1158374614
12316aa700
131a32587c
1410c89332
159cb46d3
hex6b00970

112200048 has 60 divisors (see below), whose sum is σ = 314968680. Its totient is φ = 37285248.

The previous prime is 112200047. The next prime is 112200071. The reversal of 112200048 is 840002211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 112200048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112200041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55015 + ... + 57017.

It is an arithmetic number, because the mean of its divisors is an integer number (5249478).

Almost surely, 2112200048 is an apocalyptic number.

112200048 is a gapful number since it is divisible by the number (18) 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 112200048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157484340).

112200048 is an abundant number, since it is smaller than the sum of its proper divisors (202768632).

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

112200048 is a wasteful number, since it uses less digits than its factorization.

112200048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 112200048 is about 10592.4524072568. The cubic root of 112200048 is about 482.3152726950.

Adding to 112200048 its reverse (840002211), we get a palindrome (952202259).

The spelling of 112200048 in words is "one hundred twelve million, two hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 389 778 1167 1556 2003 2334 3112 3501 4006 4668 6009 6224 7002 8012 9336 12018 14004 16024 18027 18672 24036 28008 32048 36054 48072 56016 72108 96144 144216 288432 779167 1558334 2337501 3116668 4675002 6233336 7012503 9350004 12466672 14025006 18700008 28050012 37400016 56100024 112200048