Search a number
-
+
3130302960 = 243255382031
BaseRepresentation
bin1011101010010100…
…1010000111110000
322002011012212101200
42322211022013300
522402324143320
61234341131200
7140400064461
oct27245120760
98064185350
103130302960
111366a79a44
127343b9b00
133ab6a7b95
14219a44d68
15134c32290
hexba94a1f0

3130302960 has 120 divisors (see below), whose sum is σ = 10711082304. Its totient is φ = 818987520.

The previous prime is 3130302947. The next prime is 3130302961. The reversal of 3130302960 is 692030313.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130302961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2856 + ... + 79175.

Almost surely, 23130302960 is an apocalyptic number.

3130302960 is a gapful number since it is divisible by the number (30) 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 3130302960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355541152).

3130302960 is an abundant number, since it is smaller than the sum of its proper divisors (7580779344).

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

3130302960 is a wasteful number, since it uses less digits than its factorization.

3130302960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82103 (or 82094 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3130302960 is about 55949.1104486926. The cubic root of 3130302960 is about 1462.8353857165.

The spelling of 3130302960 in words is "three billion, one hundred thirty million, three hundred two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 106 120 144 159 180 212 240 265 318 360 424 477 530 636 720 795 848 954 1060 1272 1590 1908 2120 2385 2544 3180 3816 4240 4770 6360 7632 9540 12720 19080 38160 82031 164062 246093 328124 410155 492186 656248 738279 820310 984372 1230465 1312496 1476558 1640620 1968744 2460930 2953116 3281240 3691395 3937488 4347643 4921860 5906232 6562480 7382790 8695286 9843720 11812464 13042929 14765580 17390572 19687440 21738215 26085858 29531160 34781144 39128787 43476430 52171716 59062320 65214645 69562288 78257574 86952860 104343432 130429290 156515148 173905720 195643935 208686864 260858580 313030296 347811440 391287870 521717160 626060592 782575740 1043434320 1565151480 3130302960