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112486440 = 233511261127
BaseRepresentation
bin1101011010001…
…10100000101000
321211122220101110
412231012200220
5212244031230
615054550320
72534055543
oct655064050
9254586343
10112486440
115854a800
12318083a0
131a3c6031
1410d2185a
159d1e4b0
hex6b46828

112486440 has 192 divisors, whose sum is σ = 379975680. Its totient is φ = 26611200.

The previous prime is 112486417. The next prime is 112486457. The reversal of 112486440 is 44684211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112486398 and 112486407.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 885657 + ... + 885783.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 2112486440 is an apocalyptic number.

112486440 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 112486440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

112486440 is an abundant number, since it is smaller than the sum of its proper divisors (267489240).

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

112486440 is a wasteful number, since it uses less digits than its factorization.

112486440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 112486440 is about 10605.9624740049. The cubic root of 112486440 is about 482.7252959145.

The spelling of 112486440 in words is "one hundred twelve million, four hundred eighty-six thousand, four hundred forty".