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11486268 = 22321512113
BaseRepresentation
bin101011110100…
…010000111100
3210121120012100
4223310100330
510420030033
61050105100
7166426443
oct53642074
923546170
1011486268
116535892
123a1b190
1324c2211
14174dd5a
15101d513
hexaf443c

11486268 has 36 divisors (see below), whose sum is σ = 29240848. Its totient is φ = 3801600.

The previous prime is 11486263. The next prime is 11486281. The reversal of 11486268 is 86268411.

11486268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11486263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4380 + ... + 6492.

Almost surely, 211486268 is an apocalyptic number.

11486268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11486268 is an abundant number, since it is smaller than the sum of its proper divisors (17754580).

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

11486268 is a wasteful number, since it uses less digits than its factorization.

11486268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2269 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 11486268 is about 3389.1397138507. The cubic root of 11486268 is about 225.6279937346.

The spelling of 11486268 in words is "eleven million, four hundred eighty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 906 1359 1812 2113 2718 4226 5436 6339 8452 12678 19017 25356 38034 76068 319063 638126 957189 1276252 1914378 2871567 3828756 5743134 11486268