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12108642 = 2371367331
BaseRepresentation
bin101110001100…
…001101100010
3211210011221020
4232030031202
511044434032
61111310310
7204631110
oct56141542
924704836
1012108642
116920447
12407b396
13267c5a0
141872ab0
1510e2b2c
hexb8c362

12108642 has 64 divisors (see below), whose sum is σ = 30342144. Its totient is φ = 3136320.

The previous prime is 12108637. The next prime is 12108647. The reversal of 12108642 is 24680121.

It is an interprime number because it is at equal distance from previous prime (12108637) and next prime (12108647).

It is a super-2 number, since 2×121086422 = 293238422168328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12108647) 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 31 ways as a sum of consecutive naturals, for example, 36417 + ... + 36747.

It is an arithmetic number, because the mean of its divisors is an integer number (474096).

Almost surely, 212108642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12108642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15171072).

12108642 is an abundant number, since it is smaller than the sum of its proper divisors (18233502).

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

12108642 is a wasteful number, since it uses less digits than its factorization.

12108642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12108642 is about 3479.7474046258. The cubic root of 12108642 is about 229.6316852394.

Adding to 12108642 its reverse (24680121), we get a palindrome (36788763).

The spelling of 12108642 in words is "twelve million, one hundred eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 67 78 91 134 182 201 273 331 402 469 546 662 871 938 993 1407 1742 1986 2317 2613 2814 4303 4634 5226 6097 6951 8606 12194 12909 13902 18291 22177 25818 30121 36582 44354 60242 66531 90363 133062 155239 180726 288301 310478 465717 576602 864903 931434 1729806 2018107 4036214 6054321 12108642