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112264530 = 23576779101
BaseRepresentation
bin1101011000100…
…00010101010010
321211020121222120
412230100111102
5212214431110
615050115110
72532142560
oct654202522
9254217876
10112264530
1158409004
123171ba96
131a349021
1410ca4a30
159cc8870
hex6b10552

112264530 has 128 divisors (see below), whose sum is σ = 319610880. Its totient is φ = 24710400.

The previous prime is 112264517. The next prime is 112264543. The reversal of 112264530 is 35462211.

It is an interprime number because it is at equal distance from previous prime (112264517) and next prime (112264543).

It is a super-2 number, since 2×1122645302 = 25206649392241800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112264530.

It is an unprimeable 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 63 ways as a sum of consecutive naturals, for example, 1111480 + ... + 1111580.

It is an arithmetic number, because the mean of its divisors is an integer number (2496960).

Almost surely, 2112264530 is an apocalyptic number.

112264530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112264530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159805440).

112264530 is an abundant number, since it is smaller than the sum of its proper divisors (207346350).

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

112264530 is a wasteful number, since it uses less digits than its factorization.

112264530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 112264530 is about 10595.4957411157. The cubic root of 112264530 is about 482.4076514357.

The spelling of 112264530 in words is "one hundred twelve million, two hundred sixty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 79 101 105 134 158 201 202 210 237 303 335 395 402 469 474 505 553 606 670 707 790 938 1005 1010 1106 1185 1407 1414 1515 1659 2010 2121 2345 2370 2765 2814 3030 3318 3535 4242 4690 5293 5530 6767 7035 7070 7979 8295 10586 10605 13534 14070 15879 15958 16590 20301 21210 23937 26465 31758 33835 37051 39895 40602 47369 47874 52930 55853 67670 74102 79395 79790 94738 101505 111153 111706 119685 142107 158790 167559 185255 203010 222306 236845 239370 279265 284214 335118 370510 473690 534593 555765 558530 710535 837795 1069186 1111530 1421070 1603779 1675590 2672965 3207558 3742151 5345930 7484302 8018895 11226453 16037790 18710755 22452906 37421510 56132265 112264530