Search a number
-
+
67108863 = 327318191
BaseRepresentation
bin1111111111111…
…1111111111111
311200021111001110
43333333333333
5114134440423
610354213103
71443262443
oct377777777
9150244043
1067108863
1134976978
121a584193
1310b988b3
148cac823
155d59193
hex3ffffff

67108863 has 8 divisors (see below), whose sum is σ = 89522176. Its totient is φ = 44717400.

The previous prime is 67108859. The next prime is 67108879. The reversal of 67108863 is 36880176.

67108863 is nontrivially palindromic in base 2 and base 4.

It is a Cunningham number, because it is equal to 226-1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 67108863 - 22 = 67108859 is a prime.

It is a Duffinian number.

67108863 is a nontrivial repdigit in base 2 and base 4.

It is a plaindrome in base 2, base 4, base 8 and base 16.

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67108463) by changing a digit.

It is a nontrivial repunit in base 2.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4098 + ... + 12288.

It is an arithmetic number, because the mean of its divisors is an integer number (11190272).

Almost surely, 267108863 is an apocalyptic number.

67108863 is a deficient number, since it is larger than the sum of its proper divisors (22413313).

67108863 is a wasteful number, since it uses less digits than its factorization.

67108863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10925.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 67108863 is about 8191.9999389648. Note that the first 4 decimals coincide. The cubic root of 67108863 is about 406.3746672854.

The spelling of 67108863 in words is "sixty-seven million, one hundred eight thousand, eight hundred sixty-three".

Divisors: 1 3 2731 8191 8193 24573 22369621 67108863