Base | Representation |
---|---|
bin | 110000001110… |
… | …011010111000 |
3 | 212210021112100 |
4 | 300032122320 |
5 | 11214020401 |
6 | 1130543400 |
7 | 212312034 |
oct | 60163270 |
9 | 25707470 |
10 | 12641976 |
11 | 7155116 |
12 | 4297b60 |
13 | 2808279 |
14 | 19711c4 |
15 | 119ab86 |
hex | c0e6b8 |
12641976 has 48 divisors (see below), whose sum is σ = 34734960. Its totient is φ = 4152960.
The previous prime is 12641971. The next prime is 12641977. The reversal of 12641976 is 67914621.
12641976 is a `hidden beast` number, since 1 + 2 + 641 + 9 + 7 + 6 = 666.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 12641976.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12641971) 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, 3876 + ... + 6348.
It is an arithmetic number, because the mean of its divisors is an integer number (723645).
Almost surely, 212641976 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 12641976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17367480).
12641976 is an abundant number, since it is smaller than the sum of its proper divisors (22092984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12641976 is a wasteful number, since it uses less digits than its factorization.
12641976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2556 (or 2549 counting only the distinct ones).
The product of its digits is 18144, while the sum is 36.
The square root of 12641976 is about 3555.5556527778. Note that the first 3 decimals coincide. The cubic root of 12641976 is about 232.9547948429.
It can be divided in two parts, 1264 and 1976, that added together give a triangular number (3240 = T80).
The spelling of 12641976 in words is "twelve million, six hundred forty-one thousand, nine hundred seventy-six".
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