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530183920 = 24572211641
BaseRepresentation
bin11111100110011…
…111011011110000
31100221122010121111
4133212133123300
52041211341140
6124335403104
716065326500
oct3746373360
91327563544
10530183920
11252303032
12129683494
1385ac29c6
14505b1a00
153182b7ea
hex1f99f6f0

530183920 has 120 divisors (see below), whose sum is σ = 1442974608. Its totient is φ = 180633600.

The previous prime is 530183891. The next prime is 530183939. The reversal of 530183920 is 29381035.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826800 + ... + 827440.

Almost surely, 2530183920 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 530183920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721487304).

530183920 is an abundant number, since it is smaller than the sum of its proper divisors (912790688).

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

530183920 is a wasteful number, since it uses less digits than its factorization.

530183920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 530183920 is about 23025.7230071066. The cubic root of 530183920 is about 809.3608329636.

The spelling of 530183920 in words is "five hundred thirty million, one hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 211 245 280 392 422 490 560 641 784 844 980 1055 1282 1477 1688 1960 2110 2564 2954 3205 3376 3920 4220 4487 5128 5908 6410 7385 8440 8974 10256 10339 11816 12820 14770 16880 17948 20678 22435 23632 25640 29540 31409 35896 41356 44870 51280 51695 59080 62818 71792 82712 89740 103390 118160 125636 135251 157045 165424 179480 206780 251272 270502 314090 358960 413560 502544 541004 628180 676255 827120 946757 1082008 1256360 1352510 1893514 2164016 2512720 2705020 3787028 4733785 5410040 6627299 7574056 9467570 10820080 13254598 15148112 18935140 26509196 33136495 37870280 53018392 66272990 75740560 106036784 132545980 265091960 530183920