Search a number
-
+
2786980 = 2257171171
BaseRepresentation
bin1010101000011010100100
312020121000111
422220122210
51203140410
6135422404
732455210
oct12503244
95217014
102786980
111633999
12b24a04
13767701
14527940
153a0b8a
hex2a86a4

2786980 has 48 divisors (see below), whose sum is σ = 7088256. Its totient is φ = 898560.

The previous prime is 2786969. The next prime is 2786981. The reversal of 2786980 is 896872.

2786980 = 1952 + 1962 + ... + 2502.

It is not an unprimeable number, because it can be changed into a prime (2786981) 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, 1795 + ... + 2965.

It is an arithmetic number, because the mean of its divisors is an integer number (147672).

22786980 is an apocalyptic number.

2786980 is a gapful number since it is divisible by the number (20) 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 2786980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544128).

2786980 is an abundant number, since it is smaller than the sum of its proper divisors (4301276).

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

2786980 is a wasteful number, since it uses less digits than its factorization.

2786980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 2786980 is about 1669.4250507285. The cubic root of 2786980 is about 140.7271688804.

The spelling of 2786980 in words is "two million, seven hundred eighty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1171 1190 2342 2380 4684 5855 8197 11710 16394 19907 23420 32788 39814 40985 79628 81970 99535 139349 163940 199070 278698 398140 557396 696745 1393490 2786980