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12018688 = 21011297
BaseRepresentation
bin101101110110…
…010000000000
3211121121112121
4231312100000
511034044223
61105334024
7204104623
oct55662000
924547477
1012018688
116869900
124037314
13264a666
14184bdba
1510c615d
hexb76400

12018688 has 66 divisors (see below), whose sum is σ = 26680598. Its totient is φ = 5406720.

The previous prime is 12018683. The next prime is 12018703. The reversal of 12018688 is 88681021.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 1982464 = 3168^2 + 1408^2 .

It is a super-2 number, since 2×120186882 = 288897722482688, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12018683) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123856 + ... + 123952.

Almost surely, 212018688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12018688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13340299).

12018688 is an abundant number, since it is smaller than the sum of its proper divisors (14661910).

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

12018688 is an equidigital number, since it uses as much as digits as its factorization.

12018688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 12018688 is about 3466.7979462322. The cubic root of 12018688 is about 229.0616336458.

It can be divided in two parts, 1201 and 8688, that added together give a palindrome (9889).

The spelling of 12018688 in words is "twelve million, eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 121 128 176 194 242 256 352 388 484 512 704 776 968 1024 1067 1408 1552 1936 2134 2816 3104 3872 4268 5632 6208 7744 8536 11264 11737 12416 15488 17072 23474 24832 30976 34144 46948 49664 61952 68288 93896 99328 123904 136576 187792 273152 375584 546304 751168 1092608 1502336 3004672 6009344 12018688