Search a number
-
+
67730013 = 3413131491
BaseRepresentation
bin1000000100101…
…11101001011101
311201110001010000
410002113221131
5114314330023
610415404513
71451460411
oct402275135
9151401100
1067730013
113526061a
121a823739
1311055540
148dd0d41
155e2d243
hex4097a5d

67730013 has 40 divisors (see below), whose sum is σ = 110015136. Its totient is φ = 41277600.

The previous prime is 67730011. The next prime is 67730021. The reversal of 67730013 is 31003776.

It is not a de Polignac number, because 67730013 - 21 = 67730011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67730011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137698 + ... + 138188.

Almost surely, 267730013 is an apocalyptic number.

It is an amenable number.

67730013 is a deficient number, since it is larger than the sum of its proper divisors (42285123).

67730013 is a wasteful number, since it uses less digits than its factorization.

67730013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 67730013 is about 8229.8246032343. The cubic root of 67730013 is about 407.6246006366.

Adding to 67730013 its reverse (31003776), we get a palindrome (98733789).

The spelling of 67730013 in words is "sixty-seven million, seven hundred thirty thousand, thirteen".

Divisors: 1 3 9 13 27 39 81 117 131 351 393 491 1053 1179 1473 1703 3537 4419 5109 6383 10611 13257 15327 19149 39771 45981 57447 64321 137943 172341 192963 517023 578889 836173 1736667 2508519 5210001 7525557 22576671 67730013