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12327840 = 2532571223
BaseRepresentation
bin101111000001…
…101110100000
3212012022121200
4233001232200
511123442330
61120121200
7206533140
oct57015640
925168550
1012327840
116a600a8
124166200
1327282a5
1418cc920
151137a60
hexbc1ba0

12327840 has 144 divisors (see below), whose sum is σ = 48117888. Its totient is φ = 2815488.

The previous prime is 12327829. The next prime is 12327841. The reversal of 12327840 is 4872321.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12327841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9469 + ... + 10691.

It is an arithmetic number, because the mean of its divisors is an integer number (334152).

Almost surely, 212327840 is an apocalyptic number.

12327840 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 12327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058944).

12327840 is an abundant number, since it is smaller than the sum of its proper divisors (35790048).

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

12327840 is a wasteful number, since it uses less digits than its factorization.

12327840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12327840 is about 3511.1023909878. The cubic root of 12327840 is about 231.0090511999.

The spelling of 12327840 in words is "twelve million, three hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1223 1260 1440 1680 2016 2446 2520 3360 3669 4892 5040 6115 7338 8561 9784 10080 11007 12230 14676 17122 18345 19568 22014 24460 25683 29352 34244 36690 39136 42805 44028 48920 51366 55035 58704 68488 73380 77049 85610 88056 97840 102732 110070 117408 128415 136976 146760 154098 171220 176112 195680 205464 220140 256830 273952 293520 308196 342440 352224 385245 410928 440280 513660 587040 616392 684880 770490 821856 880560 1027320 1232784 1369760 1540980 1761120 2054640 2465568 3081960 4109280 6163920 12327840