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10666120 = 235972749
BaseRepresentation
bin101000101100…
…000010001000
3202001220011111
4220230002020
510212303440
61020340104
7156442363
oct50540210
922056144
1010666120
116025683
1236a4634
132295b1a
1415b90da
15e0a4ea
hexa2c088

10666120 has 32 divisors (see below), whose sum is σ = 24255000. Its totient is φ = 4220928.

The previous prime is 10666093. The next prime is 10666129. The reversal of 10666120 is 2166601.

It can be written as a sum of positive squares in 4 ways, for example, as 6180196 + 4485924 = 2486^2 + 2118^2 .

It is a super-2 number, since 2×106661202 = 227532231708800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10666091 and 10666100.

It is not an unprimeable number, because it can be changed into a prime (10666129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2506 + ... + 5254.

Almost surely, 210666120 is an apocalyptic number.

10666120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10666120 is an abundant number, since it is smaller than the sum of its proper divisors (13588880).

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

10666120 is a wasteful number, since it uses less digits than its factorization.

10666120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 10666120 is about 3265.9026317390. The cubic root of 10666120 is about 220.1247226671.

The spelling of 10666120 in words is "ten million, six hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 2749 3880 5498 10996 13745 21992 27490 54980 109960 266653 533306 1066612 1333265 2133224 2666530 5333060 10666120