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11668090 = 2571931283
BaseRepresentation
bin101100100000…
…101001111010
3210221210121111
4230200221322
510441334330
61054030534
7201114520
oct54405172
923853544
1011668090
11664a455
123aa844a
132556bc5
14179a310
15105732a
hexb20a7a

11668090 has 64 divisors (see below), whose sum is σ = 26173440. Its totient is φ = 3654720.

The previous prime is 11668073. The next prime is 11668099. The reversal of 11668090 is 9086611.

It is a happy number.

It is a super-2 number, since 2×116680902 = 272288648496200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (11668099) 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 31 ways as a sum of consecutive naturals, for example, 41089 + ... + 41371.

It is an arithmetic number, because the mean of its divisors is an integer number (408960).

Almost surely, 211668090 is an apocalyptic number.

11668090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11668090 is an abundant number, since it is smaller than the sum of its proper divisors (14505350).

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

11668090 is a wasteful number, since it uses less digits than its factorization.

11668090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 11668090 is about 3415.8586036310. The cubic root of 11668090 is about 226.8122934816.

The spelling of 11668090 in words is "eleven million, six hundred sixty-eight thousand, ninety".

Divisors: 1 2 5 7 10 14 19 31 35 38 62 70 95 133 155 190 217 266 283 310 434 566 589 665 1085 1178 1330 1415 1981 2170 2830 2945 3962 4123 5377 5890 8246 8773 9905 10754 17546 19810 20615 26885 37639 41230 43865 53770 61411 75278 87730 122822 166687 188195 307055 333374 376390 614110 833435 1166809 1666870 2333618 5834045 11668090