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12108408 = 233131972
BaseRepresentation
bin101110001100…
…001001111000
3211210011121120
4232030021320
511044432113
61111305240
7204630324
oct56141170
924704546
1012108408
116920254
12407b220
13267c450
141872984
1510e2a23
hexb8c278

12108408 has 48 divisors (see below), whose sum is σ = 32765880. Its totient is φ = 3706752.

The previous prime is 12108401. The next prime is 12108451. The reversal of 12108408 is 80480121.

It is a super-2 number, since 2×121084082 = 293227088588928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12108401) 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, 61366 + ... + 61562.

Almost surely, 212108408 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 12108408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382940).

12108408 is an abundant number, since it is smaller than the sum of its proper divisors (20657472).

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

12108408 is a wasteful number, since it uses less digits than its factorization.

12108408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12108408 is about 3479.7137813332. The cubic root of 12108408 is about 229.6302060159.

Adding to 12108408 its reverse (80480121), we get a palindrome (92588529).

The spelling of 12108408 in words is "twelve million, one hundred eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 197 312 394 591 788 1182 1576 2364 2561 4728 5122 7683 10244 15366 20488 30732 38809 61464 77618 116427 155236 232854 310472 465708 504517 931416 1009034 1513551 2018068 3027102 4036136 6054204 12108408