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530102144 = 27111328961
BaseRepresentation
bin11111100110001…
…011011110000000
31100221110222102202
4133212023132000
52041201232034
6124333532332
716064536205
oct3746133600
91327428382
10530102144
11252257650
121296440a8
1385a94710
145058dcac
153181247e
hex1f98b780

530102144 has 64 divisors (see below), whose sum is σ = 1240732080. Its totient is φ = 222412800.

The previous prime is 530102141. The next prime is 530102173. The reversal of 530102144 is 441201035.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530102141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3824 + ... + 32784.

Almost surely, 2530102144 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 530102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620366040).

530102144 is an abundant number, since it is smaller than the sum of its proper divisors (710629936).

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

530102144 is a wasteful number, since it uses less digits than its factorization.

530102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28999 (or 28987 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 530102144 is about 23023.9471854849. The cubic root of 530102144 is about 809.3192186658.

Adding to 530102144 its reverse (441201035), we get a palindrome (971303179).

The spelling of 530102144 in words is "five hundred thirty million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2288 4576 9152 18304 28961 57922 115844 231688 318571 376493 463376 637142 752986 926752 1274284 1505972 1853504 2548568 3011944 3707008 4141423 5097136 6023888 8282846 10194272 12047776 16565692 20388544 24095552 33131384 40777088 48191104 66262768 132525536 265051072 530102144