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57699 = 332137
BaseRepresentation
bin1110000101100011
32221011000
432011203
53321244
61123043
7330135
oct160543
987130
1057699
113a394
1229483
1320355
1417055
1512169
hexe163

57699 has 8 divisors (see below), whose sum is σ = 85520. Its totient is φ = 38448.

The previous prime is 57697. The next prime is 57709. The reversal of 57699 is 99675.

57699 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57699 - 21 = 57697 is a prime.

It is a Duffinian number.

57699 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57699.

It is not an unprimeable number, because it can be changed into a prime (57697) 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, 1042 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (10690).

257699 is an apocalyptic number.

57699 is a deficient number, since it is larger than the sum of its proper divisors (27821).

57699 is a wasteful number, since it uses less digits than its factorization.

57699 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2140 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 57699 is about 240.2061614530. The cubic root of 57699 is about 38.6416885185.

It can be divided in two parts, 5769 and 9, that added together give a triangular number (5778 = T107).

The spelling of 57699 in words is "fifty-seven thousand, six hundred ninety-nine".

Divisors: 1 3 9 27 2137 6411 19233 57699