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11386008 = 23355857
BaseRepresentation
bin101011011011…
…110010011000
3210102110200000
4223123302120
510403323013
61044013000
7165531234
oct53336230
923373600
1011386008
116477527
123991160
1324886aa
1417255c4
15eed973
hexadbc98

11386008 has 48 divisors (see below), whose sum is σ = 31984680. Its totient is φ = 3794688.

The previous prime is 11386003. The next prime is 11386019. The reversal of 11386008 is 80068311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11386003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 985 + ... + 4872.

Almost surely, 211386008 is an apocalyptic number.

11386008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11386008 is an abundant number, since it is smaller than the sum of its proper divisors (20598672).

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

11386008 is an equidigital number, since it uses as much as digits as its factorization.

11386008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11386008 is about 3374.3159306739. The cubic root of 11386008 is about 224.9695958917.

The spelling of 11386008 in words is "eleven million, three hundred eighty-six thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 5857 11714 17571 23428 35142 46856 52713 70284 105426 140568 158139 210852 316278 421704 474417 632556 948834 1265112 1423251 1897668 2846502 3795336 5693004 11386008