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64520000 = 26541613
BaseRepresentation
bin1111011000011…
…1111101000000
311111101221210122
43312013331000
5113004120000
610222515412
71412260646
oct366077500
9144357718
1064520000
1133468916
1219735b68
13104a041c
1487d7196
1559e7085
hex3d87f40

64520000 has 70 divisors (see below), whose sum is σ = 160087818. Its totient is φ = 25792000.

The previous prime is 64519999. The next prime is 64520003. The reversal of 64520000 is 2546.

It can be written as a sum of positive squares in 5 ways, for example, as 21381376 + 43138624 = 4624^2 + 6568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64520003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39194 + ... + 40806.

Almost surely, 264520000 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 64520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80043909).

64520000 is an abundant number, since it is smaller than the sum of its proper divisors (95567818).

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

64520000 is an equidigital number, since it uses as much as digits as its factorization.

64520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 64520000 is about 8032.4342512093. The cubic root of 64520000 is about 401.0804124781.

Adding to 64520000 its reverse (2546), we get a palindrome (64522546).

The spelling of 64520000 in words is "sixty-four million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 1613 2000 2500 3226 4000 5000 6452 8000 8065 10000 12904 16130 20000 25808 32260 40000 40325 51616 64520 80650 103232 129040 161300 201625 258080 322600 403250 516160 645200 806500 1008125 1290400 1613000 2016250 2580800 3226000 4032500 6452000 8065000 12904000 16130000 32260000 64520000