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64312020 = 223251721017
BaseRepresentation
bin1111010101010…
…1001011010100
311111000101111200
43311111023110
5112430441040
610214232500
71410433413
oct365251324
9144011450
1064312020
1133336633
1219655730
1310429866
14878147a
1559a5630
hex3d552d4

64312020 has 72 divisors (see below), whose sum is σ = 206564904. Its totient is φ = 16140288.

The previous prime is 64312007. The next prime is 64312021. The reversal of 64312020 is 2021346.

It is a happy number.

64312020 is a `hidden beast` number, since 643 + 1 + 2 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 63776196 = 732^2 + 7986^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 64311984 and 64312002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64312021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7449 + ... + 13568.

It is an arithmetic number, because the mean of its divisors is an integer number (2868957).

Almost surely, 264312020 is an apocalyptic number.

64312020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64312020 is an abundant number, since it is smaller than the sum of its proper divisors (142252884).

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

64312020 is a wasteful number, since it uses less digits than its factorization.

64312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21049 (or 21044 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 64312020 is about 8019.4775390919. The cubic root of 64312020 is about 400.6489881332.

Adding to 64312020 its reverse (2021346), we get a palindrome (66333366).

The spelling of 64312020 in words is "sixty-four million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 21017 42034 63051 84068 105085 126102 189153 210170 252204 315255 357289 378306 420340 630510 714578 756612 945765 1071867 1261020 1429156 1786445 1891530 2143734 3215601 3572890 3783060 4287468 5359335 6431202 7145780 10718670 12862404 16078005 21437340 32156010 64312020