Search a number
-
+
12886920 = 2332535797
BaseRepresentation
bin110001001010…
…001110001000
3220020201112100
4301022032020
511244340140
61140113400
7214352124
oct61121610
926221470
1012886920
117302152
124395860
1328928c7
1419d6584
1511e8530
hexc4a388

12886920 has 48 divisors (see below), whose sum is σ = 41883660. Its totient is φ = 3436416.

The previous prime is 12886919. The next prime is 12886927. The reversal of 12886920 is 2968821.

It can be written as a sum of positive squares in 2 ways, for example, as 11573604 + 1313316 = 3402^2 + 1146^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12886927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17539 + ... + 18258.

Almost surely, 212886920 is an apocalyptic number.

12886920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12886920 is an abundant number, since it is smaller than the sum of its proper divisors (28996740).

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

12886920 is a wasteful number, since it uses less digits than its factorization.

12886920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35814 (or 35807 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12886920 is about 3589.8356508342. The cubic root of 12886920 is about 234.4497159123.

The spelling of 12886920 in words is "twelve million, eight hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 35797 71594 107391 143188 178985 214782 286376 322173 357970 429564 536955 644346 715940 859128 1073910 1288692 1431880 1610865 2147820 2577384 3221730 4295640 6443460 12886920