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11868660 = 2233531709
BaseRepresentation
bin101101010001…
…100111110100
3211022222202000
4231101213310
511014244120
61102215300
7202611336
oct55214764
924288660
1011868660
116777111
123b84530
1325c729b
14180d456
151096990
hexb519f4

11868660 has 96 divisors (see below), whose sum is σ = 38169600. Its totient is φ = 3058560.

The previous prime is 11868653. The next prime is 11868679. The reversal of 11868660 is 6686811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16386 + ... + 17094.

It is an arithmetic number, because the mean of its divisors is an integer number (397600).

Almost surely, 211868660 is an apocalyptic number.

11868660 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 11868660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084800).

11868660 is an abundant number, since it is smaller than the sum of its proper divisors (26300940).

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

11868660 is a wasteful number, since it uses less digits than its factorization.

11868660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 11868660 is about 3445.0921613217. The cubic root of 11868660 is about 228.1045227131.

The spelling of 11868660 in words is "eleven million, eight hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 709 837 930 1116 1395 1418 1674 1860 2127 2790 2836 3348 3545 4185 4254 5580 6381 7090 8370 8508 10635 12762 14180 16740 19143 21270 21979 25524 31905 38286 42540 43958 63810 65937 76572 87916 95715 109895 127620 131874 191430 197811 219790 263748 329685 382860 395622 439580 593433 659370 791244 989055 1186866 1318740 1978110 2373732 2967165 3956220 5934330 11868660