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12013950 = 23521361101
BaseRepresentation
bin101101110101…
…000101111110
3211121101001010
4231311011332
511033421300
61105300050
7204055044
oct55650576
924541033
1012013950
116866293
124034626
132648460
14184a394
1510c4a50
hexb7517e

12013950 has 96 divisors (see below), whose sum is σ = 32935392. Its totient is φ = 2880000.

The previous prime is 12013949. The next prime is 12013973. The reversal of 12013950 is 5931021.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118900 + ... + 119000.

It is an arithmetic number, because the mean of its divisors is an integer number (343077).

Almost surely, 212013950 is an apocalyptic number.

12013950 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 12013950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467696).

12013950 is an abundant number, since it is smaller than the sum of its proper divisors (20921442).

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

12013950 is a wasteful number, since it uses less digits than its factorization.

12013950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 12013950 is about 3466.1145393654. The cubic root of 12013950 is about 229.0315295094.

Adding to 12013950 its reverse (5931021), we get a palindrome (17944971).

It can be divided in two parts, 1201 and 3950, that added together give a triangular number (5151 = T101).

The spelling of 12013950 in words is "twelve million, thirteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 61 65 75 78 101 122 130 150 183 195 202 303 305 325 366 390 505 606 610 650 793 915 975 1010 1313 1515 1525 1586 1830 1950 2379 2525 2626 3030 3050 3939 3965 4575 4758 5050 6161 6565 7575 7878 7930 9150 11895 12322 13130 15150 18483 19695 19825 23790 30805 32825 36966 39390 39650 59475 61610 65650 80093 92415 98475 118950 154025 160186 184830 196950 240279 308050 400465 462075 480558 800930 924150 1201395 2002325 2402790 4004650 6006975 12013950