Search a number
112800 = 2535247
BaseRepresentation
bin11011100010100000
312201201210
4123202200
512102200
62230120
7646602
oct334240
9181653
10112800
1177826
1255340
133c45c
142d172
1523650
hex1b8a0

112800 has 72 divisors (see below), whose sum is σ = 374976. Its totient is φ = 29440.

The previous prime is 112799. The next prime is 112807. The reversal of 112800 is 8211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (112807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2377 + ... + 2423.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2112800 is an apocalyptic number.

112800 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 112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

112800 is an abundant number, since it is smaller than the sum of its proper divisors (262176).

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

112800 is a wasteful number, since it uses less digits than its factorization.

112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112800 is about 335.8571124749. The cubic root of 112800 is about 48.3173417832.

The spelling of 112800 in words is "one hundred twelve thousand, eight hundred".