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64131700 = 2252641317
BaseRepresentation
bin1111010010100…
…1001001110100
311110200020011011
43310221021310
5112404203300
610210322004
71406052613
oct364511164
9143606134
1064131700
1133223106
1219589304
1310395769
14873587a
15596beba
hex3d29274

64131700 has 18 divisors (see below), whose sum is σ = 139166006. Its totient is φ = 25652640.

The previous prime is 64131689. The next prime is 64131703. The reversal of 64131700 is 713146.

64131700 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 19027044 + 45104656 = 4362^2 + 6716^2 .

It is a super-2 number, since 2×641317002 = 8225749889780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64131703) 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, 320559 + ... + 320758.

Almost surely, 264131700 is an apocalyptic number.

It is an amenable number.

64131700 is an abundant number, since it is smaller than the sum of its proper divisors (75034306).

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

64131700 is a wasteful number, since it uses less digits than its factorization.

64131700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641331 (or 641324 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 64131700 is about 8008.2270197591. The cubic root of 64131700 is about 400.2741870108.

Adding to 64131700 its reverse (713146), we get a palindrome (64844846).

The spelling of 64131700 in words is "sixty-four million, one hundred thirty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 641317 1282634 2565268 3206585 6413170 12826340 16032925 32065850 64131700