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2106709696 = 26713596131
BaseRepresentation
bin111110110010001…
…1101011011000000
312102211010221102001
41331210131123000
513303304202241
6545014033344
7103130510530
oct17544353300
95384127361
102106709696
119912011a3
124a9648854
132775c9bb0
1415db154c0
15c4e40431
hex7d91d6c0

2106709696 has 112 divisors (see below), whose sum is σ = 5233294080. Its totient is φ = 819164160.

The previous prime is 2106709651. The next prime is 2106709697. The reversal of 2106709696 is 6969076012.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2106709697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340551 + ... + 346681.

It is an arithmetic number, because the mean of its divisors is an integer number (46725840).

Almost surely, 22106709696 is an apocalyptic number.

2106709696 is a gapful number since it is divisible by the number (26) 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 2106709696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616647040).

2106709696 is an abundant number, since it is smaller than the sum of its proper divisors (3126584384).

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

2106709696 is a wasteful number, since it uses less digits than its factorization.

2106709696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6222 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The square root of 2106709696 is about 45898.9073508292. The cubic root of 2106709696 is about 1281.9415716616.

The spelling of 2106709696 in words is "two billion, one hundred six million, seven hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 59 64 91 104 112 118 182 208 224 236 364 413 416 448 472 728 767 826 832 944 1456 1534 1652 1888 2912 3068 3304 3776 5369 5824 6131 6136 6608 10738 12262 12272 13216 21476 24524 24544 26432 42917 42952 49048 49088 79703 85834 85904 98096 159406 171668 171808 196192 318812 343336 343616 361729 392384 557921 637624 686672 723458 1115842 1275248 1373344 1446916 2231684 2532103 2550496 2746688 2893832 4463368 4702477 5064206 5100992 5787664 8926736 9404954 10128412 11575328 17853472 18809908 20256824 23150656 32917339 35706944 37619816 40513648 65834678 75239632 81027296 131669356 150479264 162054592 263338712 300958528 526677424 1053354848 2106709696