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11006260 = 2251733181
BaseRepresentation
bin101001111111…
…000100110100
3202201011202021
4221333010310
510304200020
61031522524
7162360136
oct51770464
922634667
1011006260
116238191
123829444
1323848a5
141667056
15e761aa
hexa7f134

11006260 has 24 divisors (see below), whose sum is σ = 23254056. Its totient is φ = 4375680.

The previous prime is 11006251. The next prime is 11006269. The reversal of 11006260 is 6260011.

It is an interprime number because it is at equal distance from previous prime (11006251) and next prime (11006269).

It can be written as a sum of positive squares in 4 ways, for example, as 1008016 + 9998244 = 1004^2 + 3162^2 .

It is a super-2 number, since 2×110062602 = 242275518375200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1870 + ... + 5050.

It is an arithmetic number, because the mean of its divisors is an integer number (968919).

Almost surely, 211006260 is an apocalyptic number.

11006260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006260 is an abundant number, since it is smaller than the sum of its proper divisors (12247796).

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

11006260 is a wasteful number, since it uses less digits than its factorization.

11006260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 11006260 is about 3317.5683866350. The cubic root of 11006260 is about 222.4401892849.

Adding to 11006260 its reverse (6260011), we get a palindrome (17266271).

The spelling of 11006260 in words is "eleven million, six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3181 3460 6362 12724 15905 31810 63620 550313 1100626 2201252 2751565 5503130 11006260