Search a number
-
+
2103491712 = 2737859911
BaseRepresentation
bin111110101100000…
…1011110010000000
312102121002110011110
41331120023302000
513301443213322
6544421043320
7103061245620
oct17530136200
95377073143
102103491712
1198a403503
124a8556540
13276a4126a
1415d518880
15c4a06c0c
hex7d60bc80

2103491712 has 128 divisors (see below), whose sum is σ = 6400051200. Its totient is φ = 599639040.

The previous prime is 2103491711. The next prime is 2103491737. The reversal of 2103491712 is 2171943012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×21034917124 (a number of 38 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2103491712.

It is not an unprimeable number, because it can be changed into a prime (2103491711) 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, 2308537 + ... + 2309447.

It is an arithmetic number, because the mean of its divisors is an integer number (50000400).

Almost surely, 22103491712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200025600).

2103491712 is an abundant number, since it is smaller than the sum of its proper divisors (4296559488).

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

2103491712 is an equidigital number, since it uses as much as digits as its factorization.

2103491712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 2103491712 is about 45863.8388275556. The cubic root of 2103491712 is about 1281.2885201760.

The spelling of 2103491712 in words is "two billion, one hundred three million, four hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 859 896 911 1344 1718 1822 2577 2688 2733 3436 3644 5154 5466 6013 6377 6872 7288 10308 10932 12026 12754 13744 14576 18039 19131 20616 21864 24052 25508 27488 29152 36078 38262 41232 43728 48104 51016 54976 58304 72156 76524 82464 87456 96208 102032 109952 116608 144312 153048 164928 174912 192416 204064 288624 306096 329856 349824 384832 408128 577248 612192 769664 782549 816256 1154496 1224384 1565098 2308992 2347647 2448768 3130196 4695294 5477843 6260392 9390588 10955686 12520784 16433529 18781176 21911372 25041568 32867058 37562352 43822744 50083136 65734116 75124704 87645488 100166272 131468232 150249408 175290976 262936464 300498816 350581952 525872928 701163904 1051745856 2103491712