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11002068 = 22367311
BaseRepresentation
bin101001111110…
…000011010100
3202200222000000
4221332003110
510304031233
61031451300
7162342000
oct51760324
922628000
1011002068
116235020
123826b30
1323829cc
141665700
15e74d13
hexa7e0d4

11002068 has 168 divisors, whose sum is σ = 36724800. Its totient is φ = 2857680.

The previous prime is 11002067. The next prime is 11002081. The reversal of 11002068 is 86020011.

11002068 is digitally balanced in base 2, base 4 and base 8, 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 (18).

11002068 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11002068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002067) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1000183 + ... + 1000193.

It is an arithmetic number, because the mean of its divisors is an integer number (218600).

Almost surely, 211002068 is an apocalyptic number.

11002068 is a gapful number since it is divisible by the number (18) 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 11002068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18362400).

11002068 is an abundant number, since it is smaller than the sum of its proper divisors (25722732).

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

11002068 is an equidigital number, since it uses as much as digits as its factorization.

11002068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11002068 is about 3316.9365384342. The cubic root of 11002068 is about 222.4119451255.

Adding to 11002068 its reverse (86020011), we get a palindrome (97022079).

The spelling of 11002068 in words is "eleven million, two thousand, sixty-eight".