Search a number
-
+
11913660 = 22325112547
BaseRepresentation
bin101101011100…
…100110111100
3211102021110200
4231130212330
511022214120
61103203500
7203156463
oct55344674
924367420
1011913660
1167a7a00
123ba6590
132611905
1418219da
1510a4e90
hexb5c9bc

11913660 has 108 divisors (see below), whose sum is σ = 39794664. Its totient is φ = 2882880.

The previous prime is 11913659. The next prime is 11913661. The reversal of 11913660 is 6631911.

It is an interprime number because it is at equal distance from previous prime (11913659) and next prime (11913661).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11913661) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21507 + ... + 22053.

Almost surely, 211913660 is an apocalyptic number.

11913660 is a gapful number since it is divisible by the number (10) 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 11913660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897332).

11913660 is an abundant number, since it is smaller than the sum of its proper divisors (27881004).

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

11913660 is a wasteful number, since it uses less digits than its factorization.

11913660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11913660 is about 3451.6170123581. The cubic root of 11913660 is about 228.3924450765.

It can be divided in two parts, 1191 and 3660, that added together give a triangular number (4851 = T98).

The spelling of 11913660 in words is "eleven million, nine hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 547 605 660 726 990 1089 1094 1210 1452 1641 1815 1980 2178 2188 2420 2735 3282 3630 4356 4923 5445 5470 6017 6564 7260 8205 9846 10890 10940 12034 16410 18051 19692 21780 24068 24615 30085 32820 36102 49230 54153 60170 66187 72204 90255 98460 108306 120340 132374 180510 198561 216612 264748 270765 330935 361020 397122 541530 595683 661870 794244 992805 1083060 1191366 1323740 1985610 2382732 2978415 3971220 5956830 11913660