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64130520 = 2335618761
BaseRepresentation
bin1111010010100…
…0110111011000
311110200011112110
43310220313120
5112404134040
610210312320
71406046306
oct364506730
9143604473
1064130520
1133222233
12195886a0
131039506c
148735276
15596b980
hex3d28dd8

64130520 has 64 divisors (see below), whose sum is σ = 195567840. Its totient is φ = 16819200.

The previous prime is 64130497. The next prime is 64130533. The reversal of 64130520 is 2503146.

It is a happy number.

64130520 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×641305202 = 8225447190940800, which contains 22 as substring.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2940 + ... + 11700.

Almost surely, 264130520 is an apocalyptic number.

64130520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64130520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97783920).

64130520 is an abundant number, since it is smaller than the sum of its proper divisors (131437320).

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

64130520 is a wasteful number, since it uses less digits than its factorization.

64130520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8836 (or 8832 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 64130520 is about 8008.1533451851. The cubic root of 64130520 is about 400.2717320291.

Adding to 64130520 its reverse (2503146), we get a palindrome (66633666).

The spelling of 64130520 in words is "sixty-four million, one hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 8761 17522 26283 35044 43805 52566 70088 87610 105132 131415 175220 210264 262830 350440 525660 534421 1051320 1068842 1603263 2137684 2672105 3206526 4275368 5344210 6413052 8016315 10688420 12826104 16032630 21376840 32065260 64130520