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112004432 = 2417509809
BaseRepresentation
bin1101010110100…
…00110101010000
321210202102012022
412223100311100
5212133120212
615040351012
72530010351
oct653206520
9253672168
10112004432
1158250651
1231615468
131a287817
1410c37d28
159c76772
hex6ad0d50

112004432 has 40 divisors (see below), whose sum is σ = 230509800. Its totient is φ = 52539392.

The previous prime is 112004413. The next prime is 112004437. The reversal of 112004432 is 234400211.

It can be written as a sum of positive squares in 4 ways, for example, as 71503936 + 40500496 = 8456^2 + 6364^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 112004432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112004437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138044 + ... + 138852.

It is an arithmetic number, because the mean of its divisors is an integer number (5762745).

Almost surely, 2112004432 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 112004432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115254900).

112004432 is an abundant number, since it is smaller than the sum of its proper divisors (118505368).

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

112004432 is a wasteful number, since it uses less digits than its factorization.

112004432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 112004432 is about 10583.2146345050. The cubic root of 112004432 is about 482.0348109360.

Adding to 112004432 its reverse (234400211), we get a palindrome (346404643).

The spelling of 112004432 in words is "one hundred twelve million, four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 509 809 1018 1618 2036 3236 4072 6472 8144 8653 12944 13753 17306 27506 34612 55012 69224 110024 138448 220048 411781 823562 1647124 3294248 6588496 7000277 14000554 28001108 56002216 112004432