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67861131 = 3132922069
BaseRepresentation
bin1000000101101…
…11101010001011
311201200200222020
410002313222023
5114333024011
610422255523
71452544602
oct402675213
9151620866
1067861131
1135340088
121a8875a3
13110a0120
149026a39
155e57006
hex40b7a8b

67861131 has 24 divisors (see below), whose sum is σ = 100966320. Its totient is φ = 40301184.

The previous prime is 67861117. The next prime is 67861177. The reversal of 67861131 is 13116876.

It is not a de Polignac number, because 67861131 - 25 = 67861099 is a prime.

It is a super-3 number, since 3×678611313 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 67861092 and 67861101.

It is not an unprimeable number, because it can be changed into a prime (67861531) 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 23 ways as a sum of consecutive naturals, for example, 31765 + ... + 33833.

It is an arithmetic number, because the mean of its divisors is an integer number (4206930).

Almost surely, 267861131 is an apocalyptic number.

67861131 is a deficient number, since it is larger than the sum of its proper divisors (33105189).

67861131 is a wasteful number, since it uses less digits than its factorization.

67861131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2114 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 67861131 is about 8237.7867780126. The cubic root of 67861131 is about 407.8874701676.

The spelling of 67861131 in words is "sixty-seven million, eight hundred sixty-one thousand, one hundred thirty-one".

Divisors: 1 3 13 29 39 87 377 841 1131 2069 2523 6207 10933 26897 32799 60001 80691 180003 780013 1740029 2340039 5220087 22620377 67861131