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57069 = 3217373
BaseRepresentation
bin1101111011101101
32220021200
431323231
53311234
61120113
7325245
oct157355
986250
1057069
1139971
1229039
131cc8c
1416b25
1511d99
hexdeed

57069 has 12 divisors (see below), whose sum is σ = 87516. Its totient is φ = 35712.

The previous prime is 57059. The next prime is 57073. The reversal of 57069 is 96075.

57069 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 38025 + 19044 = 195^2 + 138^2 .

It is not a de Polignac number, because 57069 - 25 = 57037 is a prime.

It is a super-2 number, since 2×570692 = 6513741522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (7293).

257069 is an apocalyptic number.

It is an amenable number.

57069 is a deficient number, since it is larger than the sum of its proper divisors (30447).

57069 is a wasteful number, since it uses less digits than its factorization.

57069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 57069 is about 238.8911886194. The cubic root of 57069 is about 38.5005340905.

The spelling of 57069 in words is "fifty-seven thousand, sixty-nine".

Divisors: 1 3 9 17 51 153 373 1119 3357 6341 19023 57069