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67141636 = 221722412
BaseRepresentation
bin1000000000010…
…00000000000100
311200100011000021
410000020000010
5114142013021
610355024524
71443460132
oct400100004
9150304007
1067141636
1134999561
121a59b144
1310baa7a3
148cba752
155d63c41
hex4008004

67141636 has 27 divisors (see below), whose sum is σ = 125336127. Its totient is φ = 31464960.

The previous prime is 67141631. The next prime is 67141637. The reversal of 67141636 is 63614176.

The square root of 67141636 is 8194.

It is a perfect power (a square), and thus also a powerful number.

67141636 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 4 ways, for example, as 18922500 + 48219136 = 4350^2 + 6944^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67141631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 278476 + ... + 278716.

Almost surely, 267141636 is an apocalyptic number.

67141636 is the 8194-th square number.

It is an amenable number.

67141636 is a deficient number, since it is larger than the sum of its proper divisors (58194491).

67141636 is a wasteful number, since it uses less digits than its factorization.

67141636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The cubic root of 67141636 is about 406.4408083233.

The spelling of 67141636 in words is "sixty-seven million, one hundred forty-one thousand, six hundred thirty-six".

Divisors: 1 2 4 17 34 68 241 289 482 578 964 1156 4097 8194 16388 58081 69649 116162 139298 232324 278596 987377 1974754 3949508 16785409 33570818 67141636