Search a number
-
+
67242123 = 33131759191
BaseRepresentation
bin1000000001000…
…00100010001011
311200112020212000
410000200202023
5114203221443
610401122043
71444356114
oct400404213
9150466760
1067242123
1134a58003
121a629323
1310c14450
148d0520b
155d838d3
hex402088b

67242123 has 64 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 38085120.

The previous prime is 67242079. The next prime is 67242127. The reversal of 67242123 is 32124276.

It is not a de Polignac number, because 67242123 - 26 = 67242059 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (67242127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351958 + ... + 352148.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 267242123 is an apocalyptic number.

67242123 is a deficient number, since it is larger than the sum of its proper divisors (48879477).

67242123 is a wasteful number, since it uses less digits than its factorization.

67242123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 67242123 is about 8200.1294501977. The cubic root of 67242123 is about 406.6434727284.

Adding to 67242123 its reverse (32124276), we get a palindrome (99366399).

The spelling of 67242123 in words is "sixty-seven million, two hundred forty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 13 17 27 39 51 59 117 153 177 191 221 351 459 531 573 663 767 1003 1593 1719 1989 2301 2483 3009 3247 5157 5967 6903 7449 9027 9741 11269 13039 20709 22347 27081 29223 33807 39117 42211 67041 87669 101421 117351 126633 146497 191573 304263 352053 379899 439491 574719 1139697 1318473 1724157 2490449 3955419 5172471 7471347 22414041 67242123