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12268350 = 23252137199
BaseRepresentation
bin101110110011…
…001100111110
3212002022000100
4232303030332
511120041400
61114541530
7206164533
oct56631476
925068010
1012268350
116a1a436
1241378a6
1327071a3
1418b4d8a
151125100
hexbb333e

12268350 has 72 divisors (see below), whose sum is σ = 33368400. Its totient is φ = 3231360.

The previous prime is 12268331. The next prime is 12268351. The reversal of 12268350 is 5386221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12268351) 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, 61551 + ... + 61749.

It is an arithmetic number, because the mean of its divisors is an integer number (463450).

Almost surely, 212268350 is an apocalyptic number.

12268350 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 12268350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684200).

12268350 is an abundant number, since it is smaller than the sum of its proper divisors (21100050).

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

12268350 is a wasteful number, since it uses less digits than its factorization.

12268350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12268350 is about 3502.6204476078. The cubic root of 12268350 is about 230.6368612667.

The spelling of 12268350 in words is "twelve million, two hundred sixty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 137 150 199 225 274 398 411 450 597 685 822 995 1194 1233 1370 1791 1990 2055 2466 2985 3425 3582 4110 4975 5970 6165 6850 8955 9950 10275 12330 14925 17910 20550 27263 29850 30825 44775 54526 61650 81789 89550 136315 163578 245367 272630 408945 490734 681575 817890 1226835 1363150 2044725 2453670 4089450 6134175 12268350