Search a number
-
+
64195460 = 22571373347
BaseRepresentation
bin1111010011100…
…0101110000100
311110210110121122
43310320232010
5112413223320
610211533112
71406436530
oct364705604
9143713548
1064195460
1133266aaa
12195ba198
13103b87a4
148750bc0
155980d25
hex3d38b84

64195460 has 48 divisors (see below), whose sum is σ = 155240064. Its totient is φ = 21842688.

The previous prime is 64195459. The next prime is 64195489. The reversal of 64195460 is 6459146.

64195460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641954602 = 8242114169223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 64195460.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17507 + ... + 20853.

It is an arithmetic number, because the mean of its divisors is an integer number (3234168).

Almost surely, 264195460 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 64195460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77620032).

64195460 is an abundant number, since it is smaller than the sum of its proper divisors (91044604).

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

64195460 is a wasteful number, since it uses less digits than its factorization.

64195460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 64195460 is about 8012.2069369182. The cubic root of 64195460 is about 400.4067944887.

The spelling of 64195460 in words is "sixty-four million, one hundred ninety-five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1370 1918 2740 3347 3836 4795 6694 9590 13388 16735 19180 23429 33470 46858 66940 93716 117145 234290 458539 468580 917078 1834156 2292695 3209773 4585390 6419546 9170780 12839092 16048865 32097730 64195460