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11026638 = 233731941
BaseRepresentation
bin101010000100…
…000011001110
3202202012201000
4222010003032
510310323023
61032201130
7162503430
oct52040316
922665630
1011026638
116251527
1238391a6
132390c4c
141670650
15e7c243
hexa840ce

11026638 has 64 divisors (see below), whose sum is σ = 28938240. Its totient is φ = 3045600.

The previous prime is 11026627. The next prime is 11026643. The reversal of 11026638 is 83662011.

11026638 is a `hidden beast` number, since 1 + 1 + 0 + 26 + 638 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11248 + ... + 12188.

It is an arithmetic number, because the mean of its divisors is an integer number (452160).

Almost surely, 211026638 is an apocalyptic number.

11026638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11026638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469120).

11026638 is an abundant number, since it is smaller than the sum of its proper divisors (17911602).

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

11026638 is a wasteful number, since it uses less digits than its factorization.

11026638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11026638 is about 3320.6381916734. The cubic root of 11026638 is about 222.5773867076.

Adding to 11026638 its reverse (83662011), we get a palindrome (94688649).

It can be divided in two parts, 11026 and 638, that added together give a square (11664 = 1082).

The spelling of 11026638 in words is "eleven million, twenty-six thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 941 1302 1674 1882 1953 2823 3906 5646 5859 6587 8469 11718 13174 16938 19761 25407 29171 39522 50814 58342 59283 87513 118566 175026 177849 204197 262539 355698 408394 525078 612591 787617 1225182 1575234 1837773 3675546 5513319 11026638