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12052368 = 2433231213
BaseRepresentation
bin101101111110…
…011110010000
3211200022202000
4231332132100
511041133433
61110154000
7204305046
oct55763620
924608660
1012052368
116892139
124052900
13265caa3
14185a396
1510d1113
hexb7e790

12052368 has 80 divisors (see below), whose sum is σ = 36128640. Its totient is φ = 3839616.

The previous prime is 12052363. The next prime is 12052379. The reversal of 12052368 is 86325021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12052361) 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, 9330 + ... + 10542.

It is an arithmetic number, because the mean of its divisors is an integer number (451608).

Almost surely, 212052368 is an apocalyptic number.

12052368 is a gapful number since it is divisible by the number (18) 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 12052368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18064320).

12052368 is an abundant number, since it is smaller than the sum of its proper divisors (24076272).

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

12052368 is a wasteful number, since it uses less digits than its factorization.

12052368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12052368 is about 3471.6520562983. The cubic root of 12052368 is about 229.2754007564.

Adding to 12052368 its reverse (86325021), we get a palindrome (98377389).

The spelling of 12052368 in words is "twelve million, fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1213 1242 1656 2426 2484 3312 3639 4852 4968 7278 9704 9936 10917 14556 19408 21834 27899 29112 32751 43668 55798 58224 65502 83697 87336 111596 131004 167394 174672 223192 251091 262008 334788 446384 502182 524016 669576 753273 1004364 1339152 1506546 2008728 3013092 4017456 6026184 12052368