Search a number
-
+
2116707060 = 22351317159631
BaseRepresentation
bin111111000101010…
…0110001011110100
312110111221212012210
41332022212023310
513313334111220
6550012213420
7103311466416
oct17612461364
95414855183
102116707060
1199690a386
124b0a6a270
132796ba4b0
141611989b6
15c5c676e0
hex7e2a62f4

2116707060 has 96 divisors (see below), whose sum is σ = 6758180352. Its totient is φ = 490383360.

The previous prime is 2116707037. The next prime is 2116707083. The reversal of 2116707060 is 607076112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2116707037) and next prime (2116707083).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 66556 + ... + 93075.

It is an arithmetic number, because the mean of its divisors is an integer number (70397712).

Almost surely, 22116707060 is an apocalyptic number.

2116707060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116707060 is an abundant number, since it is smaller than the sum of its proper divisors (4641473292).

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

2116707060 is a wasteful number, since it uses less digits than its factorization.

2116707060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159673 (or 159671 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 2116707060 is about 46007.6847928691. The cubic root of 2116707060 is about 1283.9661848996.

The spelling of 2116707060 in words is "two billion, one hundred sixteen million, seven hundred seven thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 13260 159631 319262 478893 638524 798155 957786 1596310 1915572 2075203 2394465 2713727 3192620 4150406 4788930 5427454 6225609 8141181 8300812 9577860 10376015 10854908 12451218 13568635 16282362 20752030 24902436 27137270 31128045 32564724 35278451 40705905 41504060 54274540 62256090 70556902 81411810 105835353 124512180 141113804 162823620 176392255 211670706 352784510 423341412 529176765 705569020 1058353530 2116707060