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11688140 = 2252325409
BaseRepresentation
bin101100100101…
…100011001100
3210222211010002
4230211203030
510443010030
61054303432
7201230132
oct54454314
923884102
1011688140
116663522
123ab7b78
132563079
1417a3752
15105d245
hexb258cc

11688140 has 24 divisors (see below), whose sum is σ = 25613280. Its totient is φ = 4471808.

The previous prime is 11688139. The next prime is 11688151. The reversal of 11688140 is 4188611.

It is a super-2 number, since 2×116881402 = 273225233319200, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12245 + ... + 13164.

It is an arithmetic number, because the mean of its divisors is an integer number (1067220).

Almost surely, 211688140 is an apocalyptic number.

11688140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11688140 is an abundant number, since it is smaller than the sum of its proper divisors (13925140).

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

11688140 is a wasteful number, since it uses less digits than its factorization.

11688140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25441 (or 25439 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 11688140 is about 3418.7921843833. The cubic root of 11688140 is about 226.9421343315.

The spelling of 11688140 in words is "eleven million, six hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 25409 50818 101636 127045 254090 508180 584407 1168814 2337628 2922035 5844070 11688140