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86067241 = 13411131429
BaseRepresentation
bin1010010000101…
…00100000101001
312222221200001121
411020110200221
5134013122431
612312415241
72063362621
oct510244051
9188850047
1086067241
1144645657
12249a7521
1314aa5b80
14b605881
157851611
hex5214829

86067241 has 16 divisors (see below), whose sum is σ = 95855760. Its totient is φ = 76769280.

The previous prime is 86067221. The next prime is 86067299. The reversal of 86067241 is 14276068.

It can be written as a sum of positive squares in 8 ways, for example, as 65853225 + 20214016 = 8115^2 + 4496^2 .

It is a cyclic number.

It is not a de Polignac number, because 86067241 - 225 = 52512809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86067197 and 86067206.

It is not an unprimeable number, because it can be changed into a prime (86067211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59515 + ... + 60943.

It is an arithmetic number, because the mean of its divisors is an integer number (5990985).

It is a Poulet number, since it divides 286067240-1.

Almost surely, 286067241 is an apocalyptic number.

It is an amenable number.

86067241 is a deficient number, since it is larger than the sum of its proper divisors (9788519).

86067241 is a wasteful number, since it uses less digits than its factorization.

86067241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 86067241 is about 9277.2431788759. The cubic root of 86067241 is about 441.5155058518.

It can be divided in two parts, 860672 and 41, that multiplied together give a cube (35287552 = 3283).

The spelling of 86067241 in words is "eighty-six million, sixty-seven thousand, two hundred forty-one".

Divisors: 1 13 41 113 533 1429 1469 4633 18577 58589 60229 161477 761657 2099201 6620557 86067241