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11334180 = 223511131321
BaseRepresentation
bin101011001111…
…001000100100
3210022211120110
4223033020210
510400143210
61042533020
7165224154
oct53171044
923284513
1011334180
1164415a0
123967170
13246ac20
141710764
15edd420
hexacf224

11334180 has 96 divisors (see below), whose sum is σ = 37312128. Its totient is φ = 2534400.

The previous prime is 11334143. The next prime is 11334187. The reversal of 11334180 is 8143311.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11334187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7920 + ... + 9240.

It is an arithmetic number, because the mean of its divisors is an integer number (388668).

Almost surely, 211334180 is an apocalyptic number.

11334180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11334180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18656064).

11334180 is an abundant number, since it is smaller than the sum of its proper divisors (25977948).

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

11334180 is a wasteful number, since it uses less digits than its factorization.

11334180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11334180 is about 3366.6273925102. The cubic root of 11334180 is about 224.6277300859.

Adding to 11334180 its reverse (8143311), we get a palindrome (19477491).

The spelling of 11334180 in words is "eleven million, three hundred thirty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1321 1430 1716 2145 2642 2860 3963 4290 5284 6605 7926 8580 13210 14531 15852 17173 19815 26420 29062 34346 39630 43593 51519 58124 68692 72655 79260 85865 87186 103038 145310 171730 174372 188903 206076 217965 257595 290620 343460 377806 435930 515190 566709 755612 871860 944515 1030380 1133418 1889030 2266836 2833545 3778060 5667090 11334180