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839680 = 212541
BaseRepresentation
bin11001101000000000000
31120122211021
43031000000
5203332210
625555224
710065022
oct3150000
91518737
10839680
11523956
12345b14
1323526a
1417c012
15118bda
hexcd000

839680 has 52 divisors (see below), whose sum is σ = 2064132. Its totient is φ = 327680.

The previous prime is 839669. The next prime is 839693. The reversal of 839680 is 86938.

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 692224 = 384^2 + 832^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20460 + ... + 20500.

2839680 is an apocalyptic number.

839680 is a gapful number since it is divisible by the number (80) 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 839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032066).

839680 is an abundant number, since it is smaller than the sum of its proper divisors (1224452).

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

839680 is an equidigital number, since it uses as much as digits as its factorization.

839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 839680 is about 916.3405480497. The cubic root of 839680 is about 94.3418966395.

The spelling of 839680 in words is "eight hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 1024 1280 1312 1640 2048 2560 2624 3280 4096 5120 5248 6560 10240 10496 13120 20480 20992 26240 41984 52480 83968 104960 167936 209920 419840 839680