Search a number
-
+
67872909 = 31310117231
BaseRepresentation
bin1000000101110…
…10100010001101
311201201022010110
410002322202031
5114333413114
610422430233
71452624126
oct402724215
9151638113
1067872909
1135348a15
121a892379
13110a55b0
14902b04d
155e5a759
hex40ba88d

67872909 has 16 divisors (see below), whose sum is σ = 98429184. Its totient is φ = 41352000.

The previous prime is 67872907. The next prime is 67872941. The reversal of 67872909 is 90927876.

It is not a de Polignac number, because 67872909 - 21 = 67872907 is a prime.

It is a super-2 number, since 2×678729092 = 9213463552244562, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67872901) 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, 4677 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (6151824).

Almost surely, 267872909 is an apocalyptic number.

It is an amenable number.

67872909 is a deficient number, since it is larger than the sum of its proper divisors (30556275).

67872909 is a wasteful number, since it uses less digits than its factorization.

67872909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17348.

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 67872909 is about 8238.5016234750. The cubic root of 67872909 is about 407.9110664966.

The spelling of 67872909 in words is "sixty-seven million, eight hundred seventy-two thousand, nine hundred nine".

Divisors: 1 3 13 39 101 303 1313 3939 17231 51693 224003 672009 1740331 5220993 22624303 67872909