Search a number
-
+
68633127 = 32231312531
BaseRepresentation
bin1000001011101…
…00001000100111
311210010220221200
410011310020213
5120032230002
610451013543
71462241403
oct405641047
9153126850
1068633127
11358180a2
121ab9a2b3
13112b0624
149188103
15605ab1c
hex4174227

68633127 has 24 divisors (see below), whose sum is σ = 104277888. Its totient is φ = 43414800.

The previous prime is 68633099. The next prime is 68633129. The reversal of 68633127 is 72133686.

It is a happy number.

68633127 is a `hidden beast` number, since 6 + 8 + 633 + 12 + 7 = 666.

It is not a de Polignac number, because 68633127 - 215 = 68600359 is a prime.

It is a super-2 number, since 2×686331272 = 9421012243596258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68633091 and 68633100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68633129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25852 + ... + 28382.

It is an arithmetic number, because the mean of its divisors is an integer number (4344912).

Almost surely, 268633127 is an apocalyptic number.

68633127 is a deficient number, since it is larger than the sum of its proper divisors (35644761).

68633127 is a wasteful number, since it uses less digits than its factorization.

68633127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2688 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 68633127 is about 8284.5112710407. The cubic root of 68633127 is about 409.4283665797.

The spelling of 68633127 in words is "sixty-eight million, six hundred thirty-three thousand, one hundred twenty-seven".

Divisors: 1 3 9 23 69 131 207 393 1179 2531 3013 7593 9039 22779 27117 58213 174639 331561 523917 994683 2984049 7625903 22877709 68633127