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530001540 = 2232510129153
BaseRepresentation
bin11111100101110…
…010111010000100
31100221021212102200
4133211302322010
52041140022130
6124331434500
716063636665
oct3745627204
91327255380
10530001540
11252199002
121295b5a30
1385a5a9a3
145056536c
15317e2760
hex1f972e84

530001540 has 72 divisors (see below), whose sum is σ = 1623644568. Its totient is φ = 139929600.

The previous prime is 530001539. The next prime is 530001541. The reversal of 530001540 is 45100035.

It is an interprime number because it is at equal distance from previous prime (530001539) and next prime (530001541).

It can be written as a sum of positive squares in 4 ways, for example, as 41679936 + 488321604 = 6456^2 + 22098^2 .

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

It is not an unprimeable number, because it can be changed into a prime (530001541) 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, 3604 + ... + 32756.

It is an arithmetic number, because the mean of its divisors is an integer number (22550619).

Almost surely, 2530001540 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 530001540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811822284).

530001540 is an abundant number, since it is smaller than the sum of its proper divisors (1093643028).

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

530001540 is a wasteful number, since it uses less digits than its factorization.

530001540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29269 (or 29264 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 530001540 is about 23021.7623130811. The cubic root of 530001540 is about 809.2680172745.

Adding to 530001540 its reverse (45100035), we get a palindrome (575101575).

The spelling of 530001540 in words is "five hundred thirty million, one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 29153 58306 87459 116612 145765 174918 262377 291530 349836 437295 524754 583060 874590 1049508 1311885 1749180 2623770 2944453 5247540 5888906 8833359 11777812 14722265 17666718 26500077 29444530 35333436 44166795 53000154 58889060 88333590 106000308 132500385 176667180 265000770 530001540