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1306663020 = 22325133118013
BaseRepresentation
bin100110111100010…
…0001100001101100
310101001201100200200
41031320201201230
510134001204040
6333354153500
744244311115
oct11570414154
93331640620
101306663020
116106392a3
12305722890
1317a92b9b0
14c577720c
1579aa9630
hex4de2186c

1306663020 has 144 divisors (see below), whose sum is σ = 4406368512. Its totient is φ = 311247360.

The previous prime is 1306663013. The next prime is 1306663021. The reversal of 1306663020 is 203666031.

It is not an unprimeable number, because it can be changed into a prime (1306663021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63534 + ... + 81546.

Almost surely, 21306663020 is an apocalyptic number.

1306663020 is a gapful number since it is divisible by the number (10) 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 1306663020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203184256).

1306663020 is an abundant number, since it is smaller than the sum of its proper divisors (3099705492).

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

1306663020 is a wasteful number, since it uses less digits than its factorization.

1306663020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18072 (or 18067 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1306663020 is about 36147.7941235700. The cubic root of 1306663020 is about 1093.2543148408.

The spelling of 1306663020 in words is "one billion, three hundred six million, six hundred sixty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1395 1612 1860 2015 2340 2418 2790 3627 4030 4836 5580 6045 7254 8060 12090 14508 18013 18135 24180 36026 36270 54039 72052 72540 90065 108078 162117 180130 216156 234169 270195 324234 360260 468338 540390 558403 648468 702507 810585 936676 1080780 1116806 1170845 1405014 1621170 1675209 2107521 2233612 2341690 2792015 2810028 3242340 3350418 3512535 4215042 4683380 5025627 5584030 6700836 7025070 7259239 8376045 8430084 10051254 10537605 11168060 14050140 14518478 16752090 20102508 21075210 21777717 25128135 29036956 33504180 36296195 42150420 43555434 50256270 65333151 72592390 87110868 100512540 108888585 130666302 145184780 217777170 261332604 326665755 435554340 653331510 1306663020