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11427885 = 345729139
BaseRepresentation
bin101011100110…
…000000101101
3210111121010000
4223212000231
510411143020
61044534513
7166064310
oct53460055
923447100
1011427885
1164a5a37
1239b1439
1324a1781
141736977
15100b090
hexae602d

11427885 has 80 divisors (see below), whose sum is σ = 24393600. Its totient is φ = 5007744.

The previous prime is 11427883. The next prime is 11427901. The reversal of 11427885 is 58872411.

It is not a de Polignac number, because 11427885 - 21 = 11427883 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11427881) 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 79 ways as a sum of consecutive naturals, for example, 82146 + ... + 82284.

It is an arithmetic number, because the mean of its divisors is an integer number (304920).

Almost surely, 211427885 is an apocalyptic number.

11427885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11427885 is an abundant number, since it is smaller than the sum of its proper divisors (12965715).

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

11427885 is a wasteful number, since it uses less digits than its factorization.

11427885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 11427885 is about 3380.5154932347. The cubic root of 11427885 is about 225.2450663142.

The spelling of 11427885 in words is "eleven million, four hundred twenty-seven thousand, eight hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 81 87 105 135 139 145 189 203 261 315 405 417 435 567 609 695 783 945 973 1015 1251 1305 1827 2085 2349 2835 2919 3045 3753 3915 4031 4865 5481 6255 8757 9135 11259 11745 12093 14595 16443 18765 20155 26271 27405 28217 36279 43785 56295 60465 78813 82215 84651 108837 131355 141085 181395 253953 326511 394065 423255 544185 761859 1269765 1632555 2285577 3809295 11427885