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64066900 = 2252640669
BaseRepresentation
bin1111010001100…
…1010101010100
311110112221021011
43310121111110
5112400120100
610205102004
71405362652
oct364312524
9143487234
1064066900
1133189457
1219557904
1310372111
148719dd2
155957bba
hex3d19554

64066900 has 18 divisors (see below), whose sum is σ = 139025390. Its totient is φ = 25626720.

The previous prime is 64066883. The next prime is 64066901. The reversal of 64066900 is 966046.

64066900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6822544 + 57244356 = 2612^2 + 7566^2 .

It is a super-2 number, since 2×640669002 = 8209135351220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64066901) 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 5 ways as a sum of consecutive naturals, for example, 320235 + ... + 320434.

Almost surely, 264066900 is an apocalyptic number.

It is an amenable number.

64066900 is an abundant number, since it is smaller than the sum of its proper divisors (74958490).

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

64066900 is a wasteful number, since it uses less digits than its factorization.

64066900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640683 (or 640676 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 64066900 is about 8004.1801578925. The cubic root of 64066900 is about 400.1393264647.

The spelling of 64066900 in words is "sixty-four million, sixty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 640669 1281338 2562676 3203345 6406690 12813380 16016725 32033450 64066900