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112295764 = 22731532441
BaseRepresentation
bin1101011000101…
…11111101010100
321211022012211101
412230113331110
5212221431024
615050515444
72532332620
oct654277524
9254265741
10112295764
115842a519
1231735b84
131a35a2c9
1410cb2180
159cd2c44
hex6b17f54

112295764 has 48 divisors (see below), whose sum is σ = 236307456. Its totient is φ = 45676800.

The previous prime is 112295759. The next prime is 112295767. The reversal of 112295764 is 467592211.

It is a super-2 number, since 2×1122957642 = 25220677224687392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112295767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44784 + ... + 47224.

It is an arithmetic number, because the mean of its divisors is an integer number (4923072).

Almost surely, 2112295764 is an apocalyptic number.

112295764 is a gapful number since it is divisible by the number (14) 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 112295764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118153728).

112295764 is an abundant number, since it is smaller than the sum of its proper divisors (124011692).

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

112295764 is a wasteful number, since it uses less digits than its factorization.

112295764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2534 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 112295764 is about 10596.9695668148. The cubic root of 112295764 is about 482.4523854327.

The spelling of 112295764 in words is "one hundred twelve million, two hundred ninety-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 53 62 106 124 212 217 371 434 742 868 1484 1643 2441 3286 4882 6572 9764 11501 17087 23002 34174 46004 68348 75671 129373 151342 258746 302684 517492 529697 905611 1059394 1811222 2118788 3622444 4010563 8021126 16042252 28073941 56147882 112295764