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67946131 = 1161109929
BaseRepresentation
bin1000000110011…
…00011010010011
311201212000120101
410003030122103
5114343234011
610424153231
71453350451
oct403143223
9151760511
1067946131
1135398a30
121a908817
13110cca16
1490499d1
155e722c1
hex40cc693

67946131 has 16 divisors (see below), whose sum is σ = 76111200. Its totient is φ = 60134400.

The previous prime is 67946129. The next prime is 67946167. The reversal of 67946131 is 13164976.

It is a 10-Lehmer number, since φ(67946131) divides (67946131-1)10.

It is a cyclic number.

It is not a de Polignac number, because 67946131 - 21 = 67946129 is a prime.

It is a super-2 number, since 2×679461312 = 9233353435738322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67946191) 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 15 ways as a sum of consecutive naturals, for example, 72675 + ... + 73603.

It is an arithmetic number, because the mean of its divisors is an integer number (4756950).

Almost surely, 267946131 is an apocalyptic number.

67946131 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

67946131 is a deficient number, since it is larger than the sum of its proper divisors (8165069).

67946131 is a wasteful number, since it uses less digits than its factorization.

67946131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110.

The product of its digits is 27216, while the sum is 37.

The square root of 67946131 is about 8242.9443162016. The cubic root of 67946131 is about 408.0577000127.

The spelling of 67946131 in words is "sixty-seven million, nine hundred forty-six thousand, one hundred thirty-one".

Divisors: 1 11 61 109 671 929 1199 6649 10219 56669 73139 101261 623359 1113871 6176921 67946131