Search a number
-
+
64681168 = 2419263809
BaseRepresentation
bin1111011010111…
…1010011010000
311111201010212211
43312233103100
5113024244133
610230201504
71413531556
oct366572320
9144633784
1064681168
1133568a12
12197b3294
13105288a6
148839bd6
155a29bcd
hex3daf4d0

64681168 has 40 divisors (see below), whose sum is σ = 132580800. Its totient is φ = 30484224.

The previous prime is 64681163. The next prime is 64681189. The reversal of 64681168 is 86118646.

It is a hoax number, since the sum of its digits (40) 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 64681168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64681163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79548 + ... + 80356.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 264681168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64681168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66290400).

64681168 is an abundant number, since it is smaller than the sum of its proper divisors (67899632).

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

64681168 is a wasteful number, since it uses less digits than its factorization.

64681168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1093 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 64681168 is about 8042.4603200762. The cubic root of 64681168 is about 401.4140949476.

The spelling of 64681168 in words is "sixty-four million, six hundred eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 263 304 526 809 1052 1618 2104 3236 4208 4997 6472 9994 12944 15371 19988 30742 39976 61484 79952 122968 212767 245936 425534 851068 1702136 3404272 4042573 8085146 16170292 32340584 64681168