Search a number
-
+
12720160 = 255107743
BaseRepresentation
bin110000100001…
…100000100000
3212221020210001
4300201200200
511224021120
61132345344
7213056005
oct60414040
925836701
1012720160
1171a8932
124315254
132834a2b
1419918ac
1511b3e0a
hexc21820

12720160 has 48 divisors (see below), whose sum is σ = 30373056. Its totient is φ = 5033728.

The previous prime is 12720157. The next prime is 12720161. The reversal of 12720160 is 6102721.

It is not an unprimeable number, because it can be changed into a prime (12720161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16749 + ... + 17491.

It is an arithmetic number, because the mean of its divisors is an integer number (632772).

Almost surely, 212720160 is an apocalyptic number.

12720160 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 12720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186528).

12720160 is an abundant number, since it is smaller than the sum of its proper divisors (17652896).

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

12720160 is a wasteful number, since it uses less digits than its factorization.

12720160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 12720160 is about 3566.5333308410. The cubic root of 12720160 is about 233.4340426942.

Adding to 12720160 its reverse (6102721), we get a palindrome (18822881).

It can be divided in two parts, 12720 and 160, that added together give a triangular number (12880 = T160).

The spelling of 12720160 in words is "twelve million, seven hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 743 856 1070 1486 1712 2140 2972 3424 3715 4280 5944 7430 8560 11888 14860 17120 23776 29720 59440 79501 118880 159002 318004 397505 636008 795010 1272016 1590020 2544032 3180040 6360080 12720160