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12383640 = 2332541839
BaseRepresentation
bin101111001111…
…010110011000
3212022011011100
4233033112120
511132234030
61121231400
7210154623
oct57172630
925264140
1012383640
116a99015
124192560
1327477c9
141904dba
151149360
hexbcf598

12383640 has 96 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 3217920.

The previous prime is 12383629. The next prime is 12383659. The reversal of 12383640 is 4638321.

It is a happy number.

12383640 is a `hidden beast` number, since 12 + 3 + 8 + 3 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14341 + ... + 15179.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 212383640 is an apocalyptic number.

12383640 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 12383640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

12383640 is an abundant number, since it is smaller than the sum of its proper divisors (28893960).

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

12383640 is a wasteful number, since it uses less digits than its factorization.

12383640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12383640 is about 3519.0396417205. The cubic root of 12383640 is about 231.3570685108.

The spelling of 12383640 in words is "twelve million, three hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 839 984 1230 1476 1640 1678 1845 2460 2517 2952 3356 3690 4195 4920 5034 6712 7380 7551 8390 10068 12585 14760 15102 16780 20136 25170 30204 33560 34399 37755 50340 60408 68798 75510 100680 103197 137596 151020 171995 206394 275192 302040 309591 343990 412788 515985 619182 687980 825576 1031970 1238364 1375960 1547955 2063940 2476728 3095910 4127880 6191820 12383640