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11000028 = 22313107659
BaseRepresentation
bin101001111101…
…100011011100
3202200212012110
4221331203130
510304000103
61031434020
7162333024
oct51754334
922625173
1011000028
116233536
123825910
132381ac0
141664a84
15e74403
hexa7d8dc

11000028 has 48 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 3347904.

The previous prime is 11000027. The next prime is 11000053. The reversal of 11000028 is 82000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10999977 and 11000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16363 + ... + 17021.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 211000028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

11000028 is an abundant number, since it is smaller than the sum of its proper divisors (16941732).

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

11000028 is a wasteful number, since it uses less digits than its factorization.

11000028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11000028 is about 3316.6290115115. The cubic root of 11000028 is about 222.3981977581.

Adding to 11000028 its reverse (82000011), we get a palindrome (93000039).

The spelling of 11000028 in words is "eleven million, twenty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 659 1284 1318 1391 1977 2636 2782 3954 4173 5564 7908 8346 8567 16692 17134 25701 34268 51402 70513 102804 141026 211539 282052 423078 846156 916669 1833338 2750007 3666676 5500014 11000028