Search a number
-
+
2910309116 = 22111321920599
BaseRepresentation
bin1010110101110111…
…1100101011111100
321111211021000120112
42231131330223330
521430014342431
61200442005152
7132056135141
oct25535745374
97454230515
102910309116
111263880350
126927a67b8
13374c40200
141d873a3c8
15120778c2b
hexad77cafc

2910309116 has 72 divisors (see below), whose sum is σ = 6333264000. Its totient is φ = 1156783680.

The previous prime is 2910309113. The next prime is 2910309161. The reversal of 2910309116 is 6119030192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2910309113) 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, 130985 + ... + 151583.

It is an arithmetic number, because the mean of its divisors is an integer number (87962000).

Almost surely, 22910309116 is an apocalyptic number.

2910309116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2910309116 is an abundant number, since it is smaller than the sum of its proper divisors (3422954884).

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

2910309116 is a wasteful number, since it uses less digits than its factorization.

2910309116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20659 (or 20644 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 2910309116 is about 53947.2808953334. The cubic root of 2910309116 is about 1427.7309469380.

The spelling of 2910309116 in words is "two billion, nine hundred ten million, three hundred nine thousand, one hundred sixteen".

Divisors: 1 2 4 11 13 19 22 26 38 44 52 76 143 169 209 247 286 338 418 494 572 676 836 988 1859 2717 3211 3718 5434 6422 7436 10868 12844 20599 35321 41198 70642 82396 141284 226589 267787 391381 453178 535574 782762 906356 1071148 1565524 2945657 3481231 4305191 5087953 5891314 6962462 8610382 10175906 11782628 13924924 17220764 20351812 38293541 55967483 66143389 76587082 111934966 132286778 153174164 223869932 264573556 727577279 1455154558 2910309116