Search a number
-
+
112323420 = 2232511174771
BaseRepresentation
bin1101011000111…
…10101101011100
321211100121202200
412230132231130
5212223322140
615051251500
72532506346
oct654365534
9254317680
10112323420
1158449280
1231749b90
131a369a81
1410cbc296
159cdb030
hex6b1eb5c

112323420 has 288 divisors, whose sum is σ = 407586816. Its totient is φ = 24729600.

The previous prime is 112323401. The next prime is 112323427. The reversal of 112323420 is 24323211.

112323420 is a `hidden beast` number, since 11 + 232 + 3 + 420 = 666.

112323420 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

112323420 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 112323393 and 112323402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112323427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1581985 + ... + 1582055.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 2112323420 is an apocalyptic number.

112323420 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 112323420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203793408).

112323420 is an abundant number, since it is smaller than the sum of its proper divisors (295263396).

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

112323420 is a wasteful number, since it uses less digits than its factorization.

112323420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 112323420 is about 10598.2743878426. The cubic root of 112323420 is about 482.4919880188.

Adding to 112323420 its reverse (24323211), we get a palindrome (136646631).

The spelling of 112323420 in words is "one hundred twelve million, three hundred twenty-three thousand, four hundred twenty".