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12987198 = 2327591747
BaseRepresentation
bin110001100010…
…101100111110
3220102211002100
4301202230332
511311042243
61142205530
7215250360
oct61425476
926384070
1012987198
117370524
1244238a6
1328c9443
141a20d30
1512180d3
hexc62b3e

12987198 has 48 divisors (see below), whose sum is σ = 32722560. Its totient is φ = 3645648.

The previous prime is 12987179. The next prime is 12987199. The reversal of 12987198 is 89178921.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12987199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6561 + ... + 8307.

It is an arithmetic number, because the mean of its divisors is an integer number (681720).

Almost surely, 212987198 is an apocalyptic number.

12987198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12987198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361280).

12987198 is an abundant number, since it is smaller than the sum of its proper divisors (19735362).

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

12987198 is a wasteful number, since it uses less digits than its factorization.

12987198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1818 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The square root of 12987198 is about 3603.7755202010. The cubic root of 12987198 is about 235.0562593536.

The spelling of 12987198 in words is "twelve million, nine hundred eighty-seven thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 531 826 1062 1239 1747 2478 3494 3717 5241 7434 10482 12229 15723 24458 31446 36687 73374 103073 110061 206146 220122 309219 618438 721511 927657 1443022 1855314 2164533 4329066 6493599 12987198