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12331950 = 2352194327
BaseRepresentation
bin101111000010…
…101110101110
3212012112020220
4233002232232
511124110300
61120152210
7206551131
oct57025656
925175226
1012331950
116a631a4
124168666
13272a117
1418d0218
151138da0
hexbc2bae

12331950 has 48 divisors (see below), whose sum is σ = 32200320. Its totient is φ = 3114720.

The previous prime is 12331909. The next prime is 12331951. The reversal of 12331950 is 5913321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12331950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331951) 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, 687 + ... + 5013.

It is an arithmetic number, because the mean of its divisors is an integer number (670840).

Almost surely, 212331950 is an apocalyptic number.

12331950 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 12331950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16100160).

12331950 is an abundant number, since it is smaller than the sum of its proper divisors (19868370).

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

12331950 is a wasteful number, since it uses less digits than its factorization.

12331950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4361 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 12331950 is about 3511.6876284772. The cubic root of 12331950 is about 231.0347205171.

The spelling of 12331950 in words is "twelve million, three hundred thirty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2850 4327 8654 12981 21635 25962 43270 64905 82213 108175 129810 164426 216350 246639 324525 411065 493278 649050 822130 1233195 2055325 2466390 4110650 6165975 12331950