Search a number
-
+
681164064 = 253272961191
BaseRepresentation
bin101000100110011…
…011110100100000
31202110201201102200
4220212123310200
52343334222224
6151331413200
722610541030
oct5046336440
91673651380
10681164064
1131a554709
12170154200
13ab175a79
14666738c0
153ec015c9
hex2899bd20

681164064 has 288 divisors, whose sum is σ = 2339850240. Its totient is φ = 183859200.

The previous prime is 681164053. The next prime is 681164069. The reversal of 681164064 is 460461186.

681164064 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (681164069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3566209 + ... + 3566399.

It is an arithmetic number, because the mean of its divisors is an integer number (8124480).

Almost surely, 2681164064 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 681164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

681164064 is an abundant number, since it is smaller than the sum of its proper divisors (1658686176).

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

681164064 is a wasteful number, since it uses less digits than its factorization.

681164064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 681164064 is about 26099.1199851643. The cubic root of 681164064 is about 879.8674318208.

The spelling of 681164064 in words is "six hundred eighty-one million, one hundred sixty-four thousand, sixty-four".