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12102384 = 2437181199
BaseRepresentation
bin101110001010…
…101011110000
3211202212100110
4232022223300
511044234014
61111221320
7204603630
oct56125360
924685313
1012102384
116916778
124077840
132679798
1418706c0
1510e0d59
hexb8aaf0

12102384 has 80 divisors (see below), whose sum is σ = 36108800. Its totient is φ = 3421440.

The previous prime is 12102383. The next prime is 12102401. The reversal of 12102384 is 48320121.

12102384 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 (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12102384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60717 + ... + 60915.

It is an arithmetic number, because the mean of its divisors is an integer number (451360).

Almost surely, 212102384 is an apocalyptic number.

12102384 is a gapful number since it is divisible by the number (14) 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 12102384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18054400).

12102384 is an abundant number, since it is smaller than the sum of its proper divisors (24006416).

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

12102384 is a wasteful number, since it uses less digits than its factorization.

12102384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12102384 is about 3478.8480852144. The cubic root of 12102384 is about 229.5921189329.

The spelling of 12102384 in words is "twelve million, one hundred two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 181 199 336 362 398 543 597 724 796 1086 1194 1267 1393 1448 1592 2172 2388 2534 2786 2896 3184 3801 4179 4344 4776 5068 5572 7602 8358 8688 9552 10136 11144 15204 16716 20272 22288 30408 33432 36019 60816 66864 72038 108057 144076 216114 252133 288152 432228 504266 576304 756399 864456 1008532 1512798 1728912 2017064 3025596 4034128 6051192 12102384