Search a number
-
+
11983950 = 2345211269
BaseRepresentation
bin101101101101…
…110001001110
3211112211220000
4231231301032
511031441300
61104505130
7203601426
oct55556116
924484800
1011983950
1168457a0
12401b1a6
1326378c4
14183d486
1510bac00
hexb6dc4e

11983950 has 120 divisors (see below), whose sum is σ = 36459720. Its totient is φ = 2894400.

The previous prime is 11983901. The next prime is 11983957. The reversal of 11983950 is 5938911.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11983957) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44416 + ... + 44684.

It is an arithmetic number, because the mean of its divisors is an integer number (303831).

Almost surely, 211983950 is an apocalyptic number.

11983950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11983950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229860).

11983950 is an abundant number, since it is smaller than the sum of its proper divisors (24475770).

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

11983950 is a wasteful number, since it uses less digits than its factorization.

11983950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 11983950 is about 3461.7842220450. The cubic root of 11983950 is about 228.8407326172.

The spelling of 11983950 in words is "eleven million, nine hundred eighty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 81 90 99 110 135 150 162 165 198 225 269 270 275 297 330 405 450 495 538 550 594 675 807 810 825 891 990 1345 1350 1485 1614 1650 1782 2025 2421 2475 2690 2959 2970 4035 4050 4455 4842 4950 5918 6725 7263 7425 8070 8877 8910 12105 13450 14526 14795 14850 17754 20175 21789 22275 24210 26631 29590 36315 40350 43578 44385 44550 53262 60525 72630 73975 79893 88770 108945 121050 133155 147950 159786 181575 217890 221925 239679 266310 363150 399465 443850 479358 544725 665775 798930 1089450 1198395 1331550 1997325 2396790 3994650 5991975 11983950