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12018672 = 243343647
BaseRepresentation
bin101101110110…
…001111110000
3211121121112000
4231312033300
511034044142
61105334000
7204104601
oct55661760
924547460
1012018672
116869896
124037300
13264a653
14184bda8
1510c614c
hexb763f0

12018672 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 3907008.

The previous prime is 12018653. The next prime is 12018679. The reversal of 12018672 is 27681021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12018679) 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, 18253 + ... + 18899.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 212018672 is an apocalyptic number.

12018672 is a gapful number since it is divisible by the number (12) 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 12018672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

12018672 is an abundant number, since it is smaller than the sum of its proper divisors (23336208).

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

12018672 is a wasteful number, since it uses less digits than its factorization.

12018672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12018672 is about 3466.7956386265. The cubic root of 12018672 is about 229.0615319989.

Adding to 12018672 its reverse (27681021), we get a palindrome (39699693).

The spelling of 12018672 in words is "twelve million, eighteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 647 688 774 1032 1161 1294 1548 1941 2064 2322 2588 3096 3882 4644 5176 5823 6192 7764 9288 10352 11646 15528 17469 18576 23292 27821 31056 34938 46584 55642 69876 83463 93168 111284 139752 166926 222568 250389 279504 333852 445136 500778 667704 751167 1001556 1335408 1502334 2003112 3004668 4006224 6009336 12018672