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67142313 = 3272346337
BaseRepresentation
bin1000000000010…
…00001010101001
311200100011221100
410000020022221
5114142023223
610355032013
71443462120
oct400101251
9150304840
1067142313
113499a017
121a59b609
1310baaba4
148cbaab7
155d64043
hex40082a9

67142313 has 24 divisors (see below), whose sum is σ = 115659648. Its totient is φ = 36698112.

The previous prime is 67142303. The next prime is 67142321. The reversal of 67142313 is 31324176.

It is not a de Polignac number, because 67142313 - 25 = 67142281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67142303) 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 23 ways as a sum of consecutive naturals, for example, 21720 + ... + 24617.

It is an arithmetic number, because the mean of its divisors is an integer number (4819152).

Almost surely, 267142313 is an apocalyptic number.

67142313 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

67142313 is a deficient number, since it is larger than the sum of its proper divisors (48517335).

67142313 is a wasteful number, since it uses less digits than its factorization.

67142313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46373 (or 46370 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 67142313 is about 8194.0413106110. The cubic root of 67142313 is about 406.4421743883.

Adding to 67142313 its reverse (31324176), we get a palindrome (98466489).

The spelling of 67142313 in words is "sixty-seven million, one hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 1449 46337 139011 324359 417033 973077 1065751 2919231 3197253 7460257 9591759 22380771 67142313