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11383400 = 2352747173
BaseRepresentation
bin101011011011…
…001001101000
3210102100002102
4223123021220
510403232100
61043552532
7165520520
oct53331150
923370072
1011383400
116475576
12398b748
132487452
141724680
15eeccd5
hexadb268

11383400 has 96 divisors (see below), whose sum is σ = 31069440. Its totient is φ = 3797760.

The previous prime is 11383357. The next prime is 11383403. The reversal of 11383400 is 438311.

It is a happy number.

11383400 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 (20).

It is not an unprimeable number, because it can be changed into a prime (11383403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65714 + ... + 65886.

It is an arithmetic number, because the mean of its divisors is an integer number (323640).

Almost surely, 211383400 is an apocalyptic number.

11383400 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 11383400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534720).

11383400 is an abundant number, since it is smaller than the sum of its proper divisors (19686040).

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

11383400 is a wasteful number, since it uses less digits than its factorization.

11383400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 11383400 is about 3373.9294598435. The cubic root of 11383400 is about 224.9524179218.

The spelling of 11383400 in words is "eleven million, three hundred eighty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 140 173 175 188 200 235 280 329 346 350 376 470 658 692 700 865 940 1175 1211 1316 1384 1400 1645 1730 1880 2350 2422 2632 3290 3460 4325 4700 4844 6055 6580 6920 8131 8225 8650 9400 9688 12110 13160 16262 16450 17300 24220 30275 32524 32900 34600 40655 48440 56917 60550 65048 65800 81310 113834 121100 162620 203275 227668 242200 284585 325240 406550 455336 569170 813100 1138340 1422925 1626200 2276680 2845850 5691700 11383400