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11788940 = 2253789179
BaseRepresentation
bin101100111110…
…001010001100
3211011221101102
4230332022030
511004221230
61100402232
7202130042
oct54761214
924157342
1011788940
116722229
123b46378
132599c07
1417cc392
15107d045
hexb3e28c

11788940 has 48 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 4511232.

The previous prime is 11788937. The next prime is 11788957. The reversal of 11788940 is 4988711.

11788940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11788894 and 11788903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65771 + ... + 65949.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 211788940 is an apocalyptic number.

11788940 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 11788940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

11788940 is an abundant number, since it is smaller than the sum of its proper divisors (14066260).

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

11788940 is a wasteful number, since it uses less digits than its factorization.

11788940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 11788940 is about 3433.5025848250. The cubic root of 11788940 is about 227.5926603988.

The spelling of 11788940 in words is "eleven million, seven hundred eighty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 74 89 148 178 179 185 356 358 370 445 716 740 890 895 1780 1790 3293 3580 6586 6623 13172 13246 15931 16465 26492 31862 32930 33115 63724 65860 66230 79655 132460 159310 318620 589447 1178894 2357788 2947235 5894470 11788940