Search a number
-
+
57680685 = 3256121013
BaseRepresentation
bin1101110000001…
…0001100101101
311000112111000200
43130002030231
5104231240220
65420144113
71300164156
oct334021455
9130474020
1057680685
112a617397
1217398039
13bc473aa
14793692d
1550e5890
hex370232d

57680685 has 24 divisors (see below), whose sum is σ = 101623704. Its totient is φ = 30257280.

The previous prime is 57680683. The next prime is 57680687. The reversal of 57680685 is 58608675.

It is an interprime number because it is at equal distance from previous prime (57680683) and next prime (57680687).

It can be written as a sum of positive squares in 4 ways, for example, as 7469289 + 50211396 = 2733^2 + 7086^2 .

It is not a de Polignac number, because 57680685 - 21 = 57680683 is a prime.

It is a super-2 number, since 2×576806852 = 6654122844138450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 57680685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57680683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7762 + ... + 13251.

It is an arithmetic number, because the mean of its divisors is an integer number (4234321).

Almost surely, 257680685 is an apocalyptic number.

It is an amenable number.

57680685 is a deficient number, since it is larger than the sum of its proper divisors (43943019).

57680685 is a wasteful number, since it uses less digits than its factorization.

57680685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21085 (or 21082 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 57680685 is about 7594.7801153160. The cubic root of 57680685 is about 386.3759949659.

The spelling of 57680685 in words is "fifty-seven million, six hundred eighty thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 45 61 183 305 549 915 2745 21013 63039 105065 189117 315195 945585 1281793 3845379 6408965 11536137 19226895 57680685