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11286016 = 2974767
BaseRepresentation
bin101011000011…
…011000000000
3210020101111121
4223003120000
510342123031
61041522024
7164633560
oct53033000
923211447
1011286016
116409395
123943314
132452021
1416dada0
15ece011
hexac3600

11286016 has 80 divisors (see below), whose sum is σ = 26712576. Its totient is φ = 4663296.

The previous prime is 11286013. The next prime is 11286059. The reversal of 11286016 is 61068211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11286013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168415 + ... + 168481.

Almost surely, 211286016 is an apocalyptic number.

11286016 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 11286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356288).

11286016 is an abundant number, since it is smaller than the sum of its proper divisors (15426560).

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

11286016 is an frugal number, since it uses more digits than its factorization.

11286016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 11286016 is about 3359.4666243319. The cubic root of 11286016 is about 224.3090970910.

The spelling of 11286016 in words is "eleven million, two hundred eighty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 67 94 112 128 134 188 224 256 268 329 376 448 469 512 536 658 752 896 938 1072 1316 1504 1792 1876 2144 2632 3008 3149 3584 3752 4288 5264 6016 6298 7504 8576 10528 12032 12596 15008 17152 21056 22043 24064 25192 30016 34304 42112 44086 50384 60032 84224 88172 100768 120064 168448 176344 201536 240128 352688 403072 705376 806144 1410752 1612288 2821504 5643008 11286016