[go: up one dir, main page]

Search a number
-
+
64061712 = 243311131761
BaseRepresentation
bin1111010001100…
…0000100010000
311110112200011000
43310120010100
5112344433322
610205022000
71405341561
oct364300420
9143480130
1064061712
1133185570
1219554900
131036c950
148718168
1559563ac
hex3d18110

64061712 has 320 divisors, whose sum is σ = 232485120. Its totient is φ = 16588800.

The previous prime is 64061707. The next prime is 64061731. The reversal of 64061712 is 21716046.

64061712 is a `hidden beast` number, since 6 + 40 + 617 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1050162 + ... + 1050222.

It is an arithmetic number, because the mean of its divisors is an integer number (726516).

Almost surely, 264061712 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 64061712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

64061712 is an abundant number, since it is smaller than the sum of its proper divisors (168423408).

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

64061712 is a wasteful number, since it uses less digits than its factorization.

64061712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 64061712 is about 8003.8560706699. The cubic root of 64061712 is about 400.1285253653.

Adding to 64061712 its reverse (21716046), we get a palindrome (85777758).

It can be divided in two parts, 6406 and 1712, that added together give a palindrome (8118).

The spelling of 64061712 in words is "sixty-four million, sixty-one thousand, seven hundred twelve".