Search a number
-
+
67108040 = 2358771913
BaseRepresentation
bin1111111111111…
…1110011001000
311200021102220222
43333333303020
5114134424130
610354205212
71443260156
oct377776310
9150242828
1067108040
113497629a
121a583808
1310b983cc
148cac3d6
155d58ce5
hex3fffcc8

67108040 has 32 divisors (see below), whose sum is σ = 151244280. Its totient is φ = 26798592.

The previous prime is 67108039. The next prime is 67108049. The reversal of 67108040 is 4080176.

It can be written as a sum of positive squares in 4 ways, for example, as 66814276 + 293764 = 8174^2 + 542^2 .

It is not an unprimeable number, because it can be changed into a prime (67108049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34124 + ... + 36036.

Almost surely, 267108040 is an apocalyptic number.

It is an amenable number.

67108040 is an abundant number, since it is smaller than the sum of its proper divisors (84136240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67108040 is a wasteful number, since it uses less digits than its factorization.

67108040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 67108040 is about 8191.9497068769. The cubic root of 67108040 is about 406.3730060656.

The spelling of 67108040 in words is "sixty-seven million, one hundred eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 877 1754 1913 3508 3826 4385 7016 7652 8770 9565 15304 17540 19130 35080 38260 76520 1677701 3355402 6710804 8388505 13421608 16777010 33554020 67108040