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11812140 = 22325137479
BaseRepresentation
bin101101000011…
…110100101100
3211020010012200
4231003310230
511010442030
61101101500
7202254504
oct55036454
924203180
1011812140
1167386aa
123b57890
1325a7642
1417d6a04
151084d60
hexb43d2c

11812140 has 72 divisors (see below), whose sum is σ = 36167040. Its totient is φ = 3120384.

The previous prime is 11812123. The next prime is 11812183. The reversal of 11812140 is 4121811.

11812140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24421 + ... + 24899.

It is an arithmetic number, because the mean of its divisors is an integer number (502320).

Almost surely, 211812140 is an apocalyptic number.

11812140 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 11812140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18083520).

11812140 is an abundant number, since it is smaller than the sum of its proper divisors (24354900).

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

11812140 is a wasteful number, since it uses less digits than its factorization.

11812140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11812140 is about 3436.8793985242. The cubic root of 11812140 is about 227.7418592756.

Adding to 11812140 its reverse (4121811), we get a palindrome (15933951).

It can be divided in two parts, 1181 and 2140, that added together give a triangular number (3321 = T81).

The spelling of 11812140 in words is "eleven million, eight hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 479 548 685 822 958 1233 1370 1437 1644 1916 2055 2395 2466 2740 2874 4110 4311 4790 4932 5748 6165 7185 8220 8622 9580 12330 14370 17244 21555 24660 28740 43110 65623 86220 131246 196869 262492 328115 393738 590607 656230 787476 984345 1181214 1312460 1968690 2362428 2953035 3937380 5906070 11812140