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13220082 = 2328572
BaseRepresentation
bin110010011011…
…100011110010
3220212122112200
4302123203302
511341020312
61151204030
7220240341
oct62334362
926778480
1013220082
11750a497
124516616
13297b445
141a81b58
1512620dc
hexc9b8f2

13220082 has 18 divisors (see below), whose sum is σ = 28676973. Its totient is φ = 4401552.

The previous prime is 13220069. The next prime is 13220083. The reversal of 13220082 is 28002231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10055241 + 3164841 = 3171^2 + 1779^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2571.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13220083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14998 + ... + 15854.

Almost surely, 213220082 is an apocalyptic number.

13220082 is an abundant number, since it is smaller than the sum of its proper divisors (15456891).

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

13220082 is an frugal number, since it uses more digits than its factorization.

13220082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13220082 is about 3635.9430688612. The cubic root of 13220082 is about 236.4529389201.

Multiplying 13220082 by its sum of digits (18), we get a square (237961476 = 154262).

13220082 divided by its sum of digits (18) gives a square (734449 = 8572).

The spelling of 13220082 in words is "thirteen million, two hundred twenty thousand, eighty-two".

Divisors: 1 2 3 6 9 18 857 1714 2571 5142 7713 15426 734449 1468898 2203347 4406694 6610041 13220082