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6230305320 = 2335233177121
BaseRepresentation
bin1011100110101101…
…01110101000101000
3121002012102022011220
411303112232220220
5100224424232240
62510121022040
7310251502311
oct56326565050
917065368156
106230305320
112707932668
12125a624920
13783a03cc5
1443163d608
15266e7b5d0
hex1735aea28

6230305320 has 128 divisors (see below), whose sum is σ = 19567837440. Its totient is φ = 1583943680.

The previous prime is 6230305313. The next prime is 6230305327. The reversal of 6230305320 is 235030326.

It is an interprime number because it is at equal distance from previous prime (6230305313) and next prime (6230305327).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6230305327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871360 + ... + 878480.

It is an arithmetic number, because the mean of its divisors is an integer number (152873730).

Almost surely, 26230305320 is an apocalyptic number.

6230305320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6230305320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9783918720).

6230305320 is an abundant number, since it is smaller than the sum of its proper divisors (13337532120).

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

6230305320 is a wasteful number, since it uses less digits than its factorization.

6230305320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7475 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 6230305320 is about 78932.2831292748. The cubic root of 6230305320 is about 1840.0788915449.

Adding to 6230305320 its reverse (235030326), we get a palindrome (6465335646).

The spelling of 6230305320 in words is "six billion, two hundred thirty million, three hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 317 345 460 552 634 690 920 951 1268 1380 1585 1902 2536 2760 3170 3804 4755 6340 7121 7291 7608 9510 12680 14242 14582 19020 21363 21873 28484 29164 35605 36455 38040 42726 43746 56968 58328 71210 72910 85452 87492 106815 109365 142420 145820 163783 170904 174984 213630 218730 284840 291640 327566 427260 437460 491349 655132 818915 854520 874920 982698 1310264 1637830 1965396 2257357 2456745 3275660 3930792 4514714 4913490 6551320 6772071 9029428 9826980 11286785 13544142 18058856 19653960 22573570 27088284 33860355 45147140 51919211 54176568 67720710 90294280 103838422 135441420 155757633 207676844 259596055 270882840 311515266 415353688 519192110 623030532 778788165 1038384220 1246061064 1557576330 2076768440 3115152660 6230305320