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112240752 = 24313199467
BaseRepresentation
bin1101011000010…
…10100001110000
321211012102100220
412230022201300
5212213201002
615045413040
72532013341
oct654124160
9254172326
10112240752
11583a2158
123170a180
131a33b260
1410c9a0c8
159cc17bc
hex6b0a870

112240752 has 80 divisors (see below), whose sum is σ = 328728960. Its totient is φ = 32714496.

The previous prime is 112240727. The next prime is 112240757. The reversal of 112240752 is 257042211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112240757) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7123 + ... + 16589.

It is an arithmetic number, because the mean of its divisors is an integer number (4109112).

Almost surely, 2112240752 is an apocalyptic number.

112240752 is a gapful number since it is divisible by the number (12) 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 112240752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164364480).

112240752 is an abundant number, since it is smaller than the sum of its proper divisors (216488208).

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

112240752 is a wasteful number, since it uses less digits than its factorization.

112240752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9510 (or 9504 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 112240752 is about 10594.3736011149. The cubic root of 112240752 is about 482.3735905170.

Adding to 112240752 its reverse (257042211), we get a palindrome (369282963).

The spelling of 112240752 in words is "one hundred twelve million, two hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 9467 11856 18934 28401 37868 56802 75736 113604 123071 151472 179873 227208 246142 359746 369213 454416 492284 539619 719492 738426 984568 1079238 1438984 1476852 1969136 2158476 2338349 2877968 2953704 4316952 4676698 5907408 7015047 8633904 9353396 14030094 18706792 28060188 37413584 56120376 112240752