Search a number
-
+
68639085 = 32529149353
BaseRepresentation
bin1000001011101…
…01100101101101
311210011020010100
410011311211231
5120032422320
610451101313
71462264644
oct405654555
9153136110
1068639085
1135821619
121aba1839
13112b3258
14918a35b
15605c790
hex417596d

68639085 has 48 divisors (see below), whose sum is σ = 124254000. Its totient is φ = 35008512.

The previous prime is 68639069. The next prime is 68639089. The reversal of 68639085 is 58093686.

68639085 is a `hidden beast` number, since 6 + 8 + 639 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6953769 + 61685316 = 2637^2 + 7854^2 .

It is not a de Polignac number, because 68639085 - 24 = 68639069 is a prime.

It is a super-2 number, since 2×686390852 = 9422647979274450, which contains 22 as substring.

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

It is a cake number, because a cake can be divided into 68639085 parts by 744 planar cuts.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 68639085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68639089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194269 + ... + 194621.

It is an arithmetic number, because the mean of its divisors is an integer number (2588625).

Almost surely, 268639085 is an apocalyptic number.

It is an amenable number.

68639085 is a deficient number, since it is larger than the sum of its proper divisors (55614915).

68639085 is a wasteful number, since it uses less digits than its factorization.

68639085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 68639085 is about 8284.8708499288. The cubic root of 68639085 is about 409.4402136460.

The spelling of 68639085 in words is "sixty-eight million, six hundred thirty-nine thousand, eighty-five".

Divisors: 1 3 5 9 15 29 45 87 145 149 261 353 435 447 745 1059 1305 1341 1765 2235 3177 4321 5295 6705 10237 12963 15885 21605 30711 38889 51185 52597 64815 92133 153555 157791 194445 262985 460665 473373 788955 1525313 2366865 4575939 7626565 13727817 22879695 68639085