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112500 = 223255
BaseRepresentation
bin11011011101110100
312201022200
4123131310
512100000
62224500
7645663
oct333564
9181280
10112500
1177583
1255130
133c28b
142cdda
1523500
hex1b774

112500 has 54 divisors (see below), whose sum is σ = 355446. Its totient is φ = 30000.

The previous prime is 112481. The next prime is 112501. The reversal of 112500 is 5211.

Adding to 112500 its reverse (5211), we get a palindrome (117711).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 60516 = 228^2 + 246^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112501) by changing a digit.

112500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22498 + ... + 22502.

2112500 is an apocalyptic number.

112500 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 112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177723).

112500 is an abundant number, since it is smaller than the sum of its proper divisors (242946).

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

112500 is an equidigital number, since it uses as much as digits as its factorization.

112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 112500 is about 335.4101966250. The cubic root of 112500 is about 48.2744692303.

The spelling of 112500 in words is "one hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3125 3750 4500 5625 6250 7500 9375 11250 12500 18750 22500 28125 37500 56250 112500