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12181608 = 2332891901
BaseRepresentation
bin101110011110…
…000001101000
3211220220000200
4232132001220
511104302413
61113032200
7205353615
oct56360150
924826020
1012181608
11697024a
1240b5660
1326a686a
14189150c
151109573
hexb9e068

12181608 has 48 divisors (see below), whose sum is σ = 33380100. Its totient is φ = 4012800.

The previous prime is 12181607. The next prime is 12181613. The reversal of 12181608 is 80618121.

It can be written as a sum of positive squares in 2 ways, for example, as 10227204 + 1954404 = 3198^2 + 1398^2 .

It is not an unprimeable number, because it can be changed into a prime (12181607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5458 + ... + 7358.

Almost surely, 212181608 is an apocalyptic number.

12181608 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 12181608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16690050).

12181608 is an abundant number, since it is smaller than the sum of its proper divisors (21198492).

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

12181608 is a wasteful number, since it uses less digits than its factorization.

12181608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 12181608 is about 3490.2160391586. The cubic root of 12181608 is about 230.0920110753.

Adding to 12181608 its reverse (80618121), we get a palindrome (92799729).

The spelling of 12181608 in words is "twelve million, one hundred eighty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 1901 2136 3204 3802 5703 6408 7604 11406 15208 17109 22812 34218 45624 68436 136872 169189 338378 507567 676756 1015134 1353512 1522701 2030268 3045402 4060536 6090804 12181608