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12059840 = 265132223
BaseRepresentation
bin101110000000…
…010011000000
3211200200222202
4232000103000
511041403330
61110252332
7204335612
oct56002300
924620882
1012059840
116897811
1240570a8
132663300
14185cdb2
1510d3445
hexb804c0

12059840 has 84 divisors (see below), whose sum is σ = 31235904. Its totient is φ = 4432896.

The previous prime is 12059833. The next prime is 12059867. The reversal of 12059840 is 4895021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53969 + ... + 54191.

It is an arithmetic number, because the mean of its divisors is an integer number (371856).

Almost surely, 212059840 is an apocalyptic number.

12059840 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 12059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15617952).

12059840 is an abundant number, since it is smaller than the sum of its proper divisors (19176064).

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

12059840 is a wasteful number, since it uses less digits than its factorization.

12059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 12059840 is about 3472.7280342693. The cubic root of 12059840 is about 229.3227715826.

The spelling of 12059840 in words is "twelve million, fifty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 169 208 223 260 320 338 416 446 520 676 832 845 892 1040 1115 1352 1690 1784 2080 2230 2704 2899 3380 3568 4160 4460 5408 5798 6760 7136 8920 10816 11596 13520 14272 14495 17840 23192 27040 28990 35680 37687 46384 54080 57980 71360 75374 92768 115960 150748 185536 188435 231920 301496 376870 463840 602992 753740 927680 1205984 1507480 2411968 3014960 6029920 12059840