Search a number
-
+
12805860 = 2235534027
BaseRepresentation
bin110000110110…
…011011100100
3220002121100010
4300312123210
511234241420
61134250220
7213563604
oct60663344
926077303
1012805860
117257261
124356970
132864a42
1419b4c04
1511ce4e0
hexc366e4

12805860 has 48 divisors (see below), whose sum is σ = 36542016. Its totient is φ = 3349632.

The previous prime is 12805853. The next prime is 12805861. The reversal of 12805860 is 6850821.

12805860 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12805861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167 + ... + 5193.

It is an arithmetic number, because the mean of its divisors is an integer number (761292).

Almost surely, 212805860 is an apocalyptic number.

12805860 is a gapful number since it is divisible by the number (10) 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 12805860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271008).

12805860 is an abundant number, since it is smaller than the sum of its proper divisors (23736156).

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

12805860 is a wasteful number, since it uses less digits than its factorization.

12805860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 12805860 is about 3578.5276301854. The cubic root of 12805860 is about 233.9571109941.

It can be divided in two parts, 1280 and 5860, that added together give a triangular number (7140 = T119).

The spelling of 12805860 in words is "twelve million, eight hundred five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 4027 8054 12081 16108 20135 24162 40270 48324 60405 80540 120810 213431 241620 426862 640293 853724 1067155 1280586 2134310 2561172 3201465 4268620 6402930 12805860