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530620064 = 251373101173
BaseRepresentation
bin11111101000001…
…001111010100000
31100222110021212222
4133220021322200
52041314320224
6124353010212
716102124162
oct3750117240
91328407788
10530620064
11252580787
12129853968
1385c16390
1450686932
15318b5b5e
hex1fa09ea0

530620064 has 96 divisors (see below), whose sum is σ = 1158376464. Its totient is φ = 237772800.

The previous prime is 530620061. The next prime is 530620067. The reversal of 530620064 is 460026035.

It is an interprime number because it is at equal distance from previous prime (530620061) and next prime (530620067).

It can be written as a sum of positive squares in 8 ways, for example, as 444872464 + 85747600 = 21092^2 + 9260^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (530620061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3067082 + ... + 3067254.

Almost surely, 2530620064 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 530620064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579188232).

530620064 is an abundant number, since it is smaller than the sum of its proper divisors (627756400).

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

530620064 is a wasteful number, since it uses less digits than its factorization.

530620064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 530620064 is about 23035.1918594137. The cubic root of 530620064 is about 809.5827063593.

Adding to 530620064 its reverse (460026035), we get a palindrome (990646099).

The spelling of 530620064 in words is "five hundred thirty million, six hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 73 101 104 146 173 202 208 292 346 404 416 584 692 808 949 1168 1313 1384 1616 1898 2249 2336 2626 2768 3232 3796 4498 5252 5536 7373 7592 8996 10504 12629 14746 15184 17473 17992 21008 25258 29492 30368 34946 35984 42016 50516 58984 69892 71968 95849 101032 117968 139784 164177 191698 202064 227149 235936 279568 328354 383396 404128 454298 559136 656708 766792 908596 1275529 1313416 1533584 1817192 2551058 2626832 3067168 3634384 5102116 5253664 7268768 10204232 16581877 20408464 33163754 40816928 66327508 132655016 265310032 530620064