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12874608 = 2432293083
BaseRepresentation
bin110001000111…
…001101110000
3220020002122100
4301013031300
511243441413
61135540400
7214301205
oct61071560
926202570
1012874608
1172a397a
12438a700
13288a116
1419d1cac
1511e4a73
hexc47370

12874608 has 60 divisors (see below), whose sum is σ = 37285560. Its totient is φ = 4142208.

The previous prime is 12874607. The next prime is 12874619. The reversal of 12874608 is 80647821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12874607) 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, 2635 + ... + 5717.

It is an arithmetic number, because the mean of its divisors is an integer number (621426).

Almost surely, 212874608 is an apocalyptic number.

12874608 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 12874608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18642780).

12874608 is an abundant number, since it is smaller than the sum of its proper divisors (24410952).

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

12874608 is a wasteful number, since it uses less digits than its factorization.

12874608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12874608 is about 3588.1203993177. The cubic root of 12874608 is about 234.3750286933.

The spelling of 12874608 in words is "twelve million, eight hundred seventy-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 3083 4176 6166 9249 12332 18498 24664 27747 36996 49328 55494 73992 89407 110988 147984 178814 221976 268221 357628 443952 536442 715256 804663 1072884 1430512 1609326 2145768 3218652 4291536 6437304 12874608