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11410140 = 2235723881
BaseRepresentation
bin101011100001…
…101011011100
3210110200202210
4223201223130
510410111030
61044320420
7165661500
oct53415334
923420683
1011410140
116493675
1239a3110
132496681
141730300
151005bb0
hexae1adc

11410140 has 72 divisors (see below), whose sum is σ = 37174032. Its totient is φ = 2607360.

The previous prime is 11410129. The next prime is 11410153. The reversal of 11410140 is 4101411.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 1000 + ... + 4880.

It is an arithmetic number, because the mean of its divisors is an integer number (516306).

Almost surely, 211410140 is an apocalyptic number.

11410140 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 11410140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18587016).

11410140 is an abundant number, since it is smaller than the sum of its proper divisors (25763892).

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

11410140 is a wasteful number, since it uses less digits than its factorization.

11410140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11410140 is about 3377.8898738710. The cubic root of 11410140 is about 225.1284205162.

Adding to 11410140 its reverse (4101411), we get a palindrome (15511551).

It can be divided in two parts, 114 and 10140, that multiplied together give a triangular number (1155960 = T1520).

The spelling of 11410140 in words is "eleven million, four hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3881 7762 11643 15524 19405 23286 27167 38810 46572 54334 58215 77620 81501 108668 116430 135835 163002 190169 232860 271670 326004 380338 407505 543340 570507 760676 815010 950845 1141014 1630020 1901690 2282028 2852535 3803380 5705070 11410140