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11648016 = 243359457
BaseRepresentation
bin101100011011…
…110000010000
3210220210002000
4230123300100
510440214031
61053354000
7201002142
oct54336020
923823060
1011648016
116636366
123a98900
13254aa23
141792c92
1510513e6
hexb1bc10

11648016 has 80 divisors (see below), whose sum is σ = 34075200. Its totient is φ = 3808512.

The previous prime is 11648003. The next prime is 11648023. The reversal of 11648016 is 61084611.

It can be divided in two parts, 1164 and 8016, that added together give a triangular number (9180 = T135).

11648016 is a `hidden beast` number, since 1 + 1 + 648 + 0 + 16 = 666.

11648016 is nontrivially palindromic in base 11.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25260 + ... + 25716.

It is an arithmetic number, because the mean of its divisors is an integer number (425940).

Almost surely, 211648016 is an apocalyptic number.

11648016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11648016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17037600).

11648016 is an abundant number, since it is smaller than the sum of its proper divisors (22427184).

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

11648016 is a wasteful number, since it uses less digits than its factorization.

11648016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

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

The square root of 11648016 is about 3412.9189852676. The cubic root of 11648016 is about 226.6821481160.

The spelling of 11648016 in words is "eleven million, six hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 457 472 531 708 914 944 1062 1371 1416 1593 1828 2124 2742 2832 3186 3656 4113 4248 5484 6372 7312 8226 8496 10968 12339 12744 16452 21936 24678 25488 26963 32904 49356 53926 65808 80889 98712 107852 161778 197424 215704 242667 323556 431408 485334 647112 728001 970668 1294224 1456002 1941336 2912004 3882672 5824008 11648016