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11000934 = 234789109
BaseRepresentation
bin101001111101…
…110001100110
3202200220110000
4221331301212
510304012214
61031442130
7162335460
oct51756146
922626400
1011000934
11623418a
123826346
132382339
141665130
15e74809
hexa7dc66

11000934 has 80 divisors (see below), whose sum is σ = 28749600. Its totient is φ = 3079296.

The previous prime is 11000933. The next prime is 11000959. The reversal of 11000934 is 43900011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000933) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100872 + ... + 100980.

It is an arithmetic number, because the mean of its divisors is an integer number (359370).

Almost surely, 211000934 is an apocalyptic number.

11000934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374800).

11000934 is an abundant number, since it is smaller than the sum of its proper divisors (17748666).

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

11000934 is a wasteful number, since it uses less digits than its factorization.

11000934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11000934 is about 3316.7655931645. The cubic root of 11000934 is about 222.4043034164.

Adding to 11000934 its reverse (43900011), we get a palindrome (54900945).

The spelling of 11000934 in words is "eleven million, nine hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 89 109 126 162 178 189 218 267 327 378 534 567 623 654 763 801 981 1134 1246 1526 1602 1869 1962 2289 2403 2943 3738 4578 4806 5607 5886 6867 7209 8829 9701 11214 13734 14418 16821 17658 19402 20601 29103 33642 41202 50463 58206 61803 67907 87309 100926 123606 135814 174618 203721 261927 407442 523854 611163 785781 1222326 1571562 1833489 3666978 5500467 11000934