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6890112 = 27325981
BaseRepresentation
bin11010010010001010000000
3110222001110100
4122102022000
53230440422
6403402400
7112364535
oct32221200
913861410
106890112
113986709
122383400
1315731b8
14cb4d8c
159117ac
hex692280

6890112 has 48 divisors (see below), whose sum is σ = 19830330. Its totient is φ = 2296320.

The previous prime is 6890111. The next prime is 6890123. The reversal of 6890112 is 2110986.

It can be written as a sum of positive squares in only one way, i.e., 6843456 + 46656 = 2616^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (6890111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1839 + ... + 4142.

Almost surely, 26890112 is an apocalyptic number.

It is an amenable number.

6890112 is an abundant number, since it is smaller than the sum of its proper divisors (12940218).

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

6890112 is a wasteful number, since it uses less digits than its factorization.

6890112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 6890112 is about 2624.9022838955. The cubic root of 6890112 is about 190.2868428207.

The spelling of 6890112 in words is "six million, eight hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 5981 11962 17943 23924 35886 47848 53829 71772 95696 107658 143544 191392 215316 287088 382784 430632 574176 765568 861264 1148352 1722528 2296704 3445056 6890112