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11826045 = 3257113413
BaseRepresentation
bin101101000111…
…001101111101
3211020211021200
4231013031331
511011413140
61101250113
7202343160
oct55071575
924224250
1011826045
1167480a0
123b63939
1325b0a7a
1417dbad7
151089030
hexb4737d

11826045 has 48 divisors (see below), whose sum is σ = 25564032. Its totient is φ = 4913280.

The previous prime is 11826043. The next prime is 11826083. The reversal of 11826045 is 54062811.

11826045 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11826045 - 21 = 11826043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11826041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1759 + ... + 5171.

It is an arithmetic number, because the mean of its divisors is an integer number (532584).

Almost surely, 211826045 is an apocalyptic number.

11826045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11826045 is an abundant number, since it is smaller than the sum of its proper divisors (13737987).

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

11826045 is a wasteful number, since it uses less digits than its factorization.

11826045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11826045 is about 3438.9017142105. The cubic root of 11826045 is about 227.8311885237.

Adding to 11826045 its reverse (54062811), we get a palindrome (65888856).

It can be divided in two parts, 1182 and 6045, that added together give a palindrome (7227).

The spelling of 11826045 in words is "eleven million, eight hundred twenty-six thousand, forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3413 3465 10239 17065 23891 30717 37543 51195 71673 112629 119455 153585 187715 215019 262801 337887 358365 563145 788403 1075095 1314005 1689435 2365209 3942015 11826045