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11000016 = 243325463
BaseRepresentation
bin101001111101…
…100011010000
3202200212012000
4221331203100
510304000031
61031434000
7162333006
oct51754320
922625160
1011000016
116233525
123825900
132381ab1
141664a76
15e743e6
hexa7d8d0

11000016 has 40 divisors (see below), whose sum is σ = 31575360. Its totient is φ = 3666528.

The previous prime is 10999997. The next prime is 11000027. The reversal of 11000016 is 61000011.

11000016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10999971 and 11000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12300 + ... + 13163.

It is an arithmetic number, because the mean of its divisors is an integer number (789384).

Almost surely, 211000016 is an apocalyptic number.

11000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11000016 is an abundant number, since it is smaller than the sum of its proper divisors (20575344).

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

11000016 is a wasteful number, since it uses less digits than its factorization.

11000016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25480 (or 25468 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11000016 is about 3316.6272024453. The cubic root of 11000016 is about 222.3981168862.

Adding to 11000016 its reverse (61000011), we get a palindrome (72000027).

The spelling of 11000016 in words is "eleven million, sixteen", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 25463 50926 76389 101852 152778 203704 229167 305556 407408 458334 611112 687501 916668 1222224 1375002 1833336 2750004 3666672 5500008 11000016