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530045120 = 26511236547
BaseRepresentation
bin11111100101111…
…101100011000000
31100221101002012202
4133211331203000
52041142420440
6124332412332
716064211023
oct3745754300
91327332182
10530045120
11252218820
121296170a8
1385a74787
14505771ba
1531800615
hex1f97d8c0

530045120 has 112 divisors (see below), whose sum is σ = 1436997888. Its totient is φ = 184335360.

The previous prime is 530045111. The next prime is 530045123. The reversal of 530045120 is 21540035.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 530045092 and 530045101.

It is not an unprimeable number, because it can be changed into a prime (530045123) 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, 77687 + ... + 84233.

Almost surely, 2530045120 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 530045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718498944).

530045120 is an abundant number, since it is smaller than the sum of its proper divisors (906952768).

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

530045120 is a wasteful number, since it uses less digits than its factorization.

530045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6598 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 530045120 is about 23022.7087893671. The cubic root of 530045120 is about 809.2901976714.

Adding to 530045120 its reverse (21540035), we get a palindrome (551585155).

The spelling of 530045120 in words is "five hundred thirty million, forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 160 176 184 220 230 253 320 352 368 440 460 506 704 736 880 920 1012 1265 1472 1760 1840 2024 2530 3520 3680 4048 5060 6547 7360 8096 10120 13094 16192 20240 26188 32735 40480 52376 65470 72017 80960 104752 130940 144034 150581 209504 261880 288068 301162 360085 419008 523760 576136 602324 720170 752905 1047520 1152272 1204648 1440340 1505810 1656391 2095040 2304544 2409296 2880680 3011620 3312782 4609088 4818592 5761360 6023240 6625564 8281955 9637184 11522720 12046480 13251128 16563910 23045440 24092960 26502256 33127820 48185920 53004512 66255640 106009024 132511280 265022560 530045120