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11026125 = 3653112
BaseRepresentation
bin101010000011…
…111011001101
3202202012000000
4222003323031
510310314000
61032154513
7162502065
oct52037315
922665000
1011026125
116251100
123838a39
132390946
1416703a5
15e7c000
hexa83ecd

11026125 has 84 divisors (see below), whose sum is σ = 22677564. Its totient is φ = 5346000.

The previous prime is 11026117. The next prime is 11026133. The reversal of 11026125 is 52162011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (11026117) and next prime (11026133).

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 10673289 = 594^2 + 3267^2 .

It is not a de Polignac number, because 11026125 - 23 = 11026117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11026098 and 11026107.

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 1002370 + ... + 1002380.

It is an arithmetic number, because the mean of its divisors is an integer number (269971).

Almost surely, 211026125 is an apocalyptic number.

11026125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11026125 is an abundant number, since it is smaller than the sum of its proper divisors (11651439).

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

11026125 is an frugal number, since it uses more digits than its factorization.

11026125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11026125 is about 3320.5609465872. The cubic root of 11026125 is about 222.5739349462.

Adding to 11026125 its reverse (52162011), we get a palindrome (63188136).

It can be divided in two parts, 1102 and 6125, that added together give a palindrome (7227).

The spelling of 11026125 in words is "eleven million, twenty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 125 135 165 225 243 275 297 363 375 405 495 605 675 729 825 891 1089 1125 1215 1375 1485 1815 2025 2475 2673 3025 3267 3375 3645 4125 4455 5445 6075 7425 8019 9075 9801 10125 12375 13365 15125 16335 18225 22275 27225 29403 30375 37125 40095 45375 49005 66825 81675 88209 91125 111375 136125 147015 200475 245025 334125 408375 441045 735075 1002375 1225125 2205225 3675375 11026125