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12082577 = 134122669
BaseRepresentation
bin101110000101…
…110110010001
3211201212011212
4232011312101
511043120302
61110545505
7204462113
oct56056621
924655155
1012082577
116902901
124068295
132670770
1418673b3
1510da052
hexb85d91

12082577 has 8 divisors (see below), whose sum is σ = 13329960. Its totient is φ = 10880640.

The previous prime is 12082573. The next prime is 12082627. The reversal of 12082577 is 77528021.

12082577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 34762+1.

It can be written as a sum of positive squares in 4 ways, for example, as 583696 + 11498881 = 764^2 + 3391^2 .

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 12082577 - 22 = 12082573 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12082573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10802 + ... + 11867.

It is an arithmetic number, because the mean of its divisors is an integer number (1666245).

Almost surely, 212082577 is an apocalyptic number.

It is an amenable number.

12082577 is a deficient number, since it is larger than the sum of its proper divisors (1247383).

12082577 is a wasteful number, since it uses less digits than its factorization.

12082577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22723.

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 12082577 is about 3476.0001438435. Note that the first 3 decimals coincide. The cubic root of 12082577 is about 229.4667988798.

The spelling of 12082577 in words is "twelve million, eighty-two thousand, five hundred seventy-seven".

Divisors: 1 13 41 533 22669 294697 929429 12082577