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67980105 = 3251510669
BaseRepresentation
bin1000000110101…
…00101101001001
311201220202011200
410003110231021
5114400330410
610425014413
71453551504
oct403245511
9151822150
1067980105
1135411506
121a924409
131111231b
14905813b
155e7c3c0
hex40d4b49

67980105 has 12 divisors (see below), whose sum is σ = 117832260. Its totient is φ = 36256032.

The previous prime is 67980097. The next prime is 67980149. The reversal of 67980105 is 50108976.

It can be written as a sum of positive squares in 2 ways, for example, as 12089529 + 55890576 = 3477^2 + 7476^2 .

It is not a de Polignac number, because 67980105 - 23 = 67980097 is a prime.

It is a super-2 number, since 2×679801052 = 9242589351622050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67980105.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 755290 + ... + 755379.

It is an arithmetic number, because the mean of its divisors is an integer number (9819355).

Almost surely, 267980105 is an apocalyptic number.

It is an amenable number.

67980105 is a deficient number, since it is larger than the sum of its proper divisors (49852155).

67980105 is a wasteful number, since it uses less digits than its factorization.

67980105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510680 (or 1510677 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 67980105 is about 8245.0048514237. The cubic root of 67980105 is about 408.1257001677.

The spelling of 67980105 in words is "sixty-seven million, nine hundred eighty thousand, one hundred five".

Divisors: 1 3 5 9 15 45 1510669 4532007 7553345 13596021 22660035 67980105