Search a number
-
+
64740114 = 23317109647
BaseRepresentation
bin1111011011110…
…1101100010010
311111211010202000
43312331230102
5113033140424
610231334430
71414165455
oct366755422
9144733660
1064740114
11335a922a
1219821416
131054967a
14885349c
155a3c3c9
hex3dbdb12

64740114 has 64 divisors (see below), whose sum is σ = 153964800. Its totient is φ = 20093184.

The previous prime is 64740037. The next prime is 64740119. The reversal of 64740114 is 41104746.

64740114 is a `hidden beast` number, since 647 + 4 + 0 + 1 + 14 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64740119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99739 + ... + 100385.

It is an arithmetic number, because the mean of its divisors is an integer number (2405700).

Almost surely, 264740114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64740114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76982400).

64740114 is an abundant number, since it is smaller than the sum of its proper divisors (89224686).

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

64740114 is a wasteful number, since it uses less digits than its factorization.

64740114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 64740114 is about 8046.1241601159. The cubic root of 64740114 is about 401.5359983893.

The spelling of 64740114 in words is "sixty-four million, seven hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 109 153 218 306 327 459 647 654 918 981 1294 1853 1941 1962 2943 3706 3882 5559 5823 5886 10999 11118 11646 16677 17469 21998 32997 33354 34938 50031 65994 70523 98991 100062 141046 197982 211569 296973 423138 593946 634707 1198891 1269414 1904121 2397782 3596673 3808242 7193346 10790019 21580038 32370057 64740114