Search a number
-
+
2103706968 = 2331122692693
BaseRepresentation
bin111110101100100…
…0000010101011000
312102121111101102220
41331121000111120
513302022110333
6544425424040
7103063133316
oct17531002530
95377441386
102103706968
1198a540200
124a863b020
13276ab822c
1415d5730b6
15c4a4a8b3
hex7d640558

2103706968 has 96 divisors (see below), whose sum is σ = 5804492400. Its totient is φ = 634881280.

The previous prime is 2103706967. The next prime is 2103707051. The reversal of 2103706968 is 8696073012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103706963) 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, 779830 + ... + 782522.

Almost surely, 22103706968 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 2103706968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902246200).

2103706968 is an abundant number, since it is smaller than the sum of its proper divisors (3700785432).

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

2103706968 is a wasteful number, since it uses less digits than its factorization.

2103706968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2103706968 is about 45866.1854529020. The cubic root of 2103706968 is about 1281.3322245926.

The spelling of 2103706968 in words is "two billion, one hundred three million, seven hundred six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 269 363 484 538 726 807 968 1076 1452 1614 2152 2693 2904 2959 3228 5386 5918 6456 8079 8877 10772 11836 16158 17754 21544 23672 29623 32316 32549 35508 59246 64632 65098 71016 88869 97647 118492 130196 177738 195294 236984 260392 325853 355476 390588 651706 710952 724417 781176 977559 1303412 1448834 1955118 2173251 2606824 2897668 3910236 4346502 5795336 7820472 7968587 8693004 15937174 17386008 23905761 31874348 47811522 63748696 87654457 95623044 175308914 191246088 262963371 350617828 525926742 701235656 1051853484 2103706968