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112906877 = 1745714533
BaseRepresentation
bin1101011101011…
…01001001111101
321212110021010012
412232231021331
5212401010002
615111553005
72540456366
oct656551175
9255407105
10112906877
1158807676
123198b765
131a512505
1410dd0b6d
159da3d52
hex6bad27d

112906877 has 8 divisors (see below), whose sum is σ = 119818296. Its totient is φ = 106025472.

The previous prime is 112906853. The next prime is 112906891. The reversal of 112906877 is 778609211.

It can be written as a sum of positive squares in 4 ways, for example, as 56040196 + 56866681 = 7486^2 + 7541^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112906877 - 28 = 112906621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112906897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503 + ... + 15035.

It is an arithmetic number, because the mean of its divisors is an integer number (14977287).

Almost surely, 2112906877 is an apocalyptic number.

112906877 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

112906877 is a deficient number, since it is larger than the sum of its proper divisors (6911419).

112906877 is a wasteful number, since it uses less digits than its factorization.

112906877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007.

The product of its (nonzero) digits is 42336, while the sum is 41.

The square root of 112906877 is about 10625.7647724764. The cubic root of 112906877 is about 483.3259705048.

The spelling of 112906877 in words is "one hundred twelve million, nine hundred six thousand, eight hundred seventy-seven".

Divisors: 1 17 457 7769 14533 247061 6641581 112906877