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112363470 = 23352811481
BaseRepresentation
bin1101011001010…
…00011111001110
321211102122201000
412230220133032
5212231112340
615052201130
72533034202
oct654503716
9254378630
10112363470
115847637a
12317691a6
131a38207b
1410cccb02
159ce7d30
hex6b287ce

112363470 has 64 divisors (see below), whose sum is σ = 300905280. Its totient is φ = 29836800.

The previous prime is 112363423. The next prime is 112363477. The reversal of 112363470 is 74363211.

112363470 is a `hidden beast` number, since 1 + 1 + 23 + 634 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112363477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75130 + ... + 76610.

It is an arithmetic number, because the mean of its divisors is an integer number (4701645).

Almost surely, 2112363470 is an apocalyptic number.

112363470 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 112363470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150452640).

112363470 is an abundant number, since it is smaller than the sum of its proper divisors (188541810).

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

112363470 is a wasteful number, since it uses less digits than its factorization.

112363470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 112363470 is about 10600.1636779816. The cubic root of 112363470 is about 482.5493269302.

It can be divided in two parts, 11236 and 3470, that added together give a triangular number (14706 = T171).

The spelling of 112363470 in words is "one hundred twelve million, three hundred sixty-three thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 281 562 843 1405 1481 1686 2529 2810 2962 4215 4443 5058 7405 7587 8430 8886 12645 13329 14810 15174 22215 25290 26658 37935 39987 44430 66645 75870 79974 133290 199935 399870 416161 832322 1248483 2080805 2496966 3745449 4161610 6242415 7490898 11236347 12484830 18727245 22472694 37454490 56181735 112363470