Search a number
-
+
5946980 = 2251389257
BaseRepresentation
bin10110101011111001100100
3102012010201112
4112223321210
53010300410
6331244152
7101356064
oct26537144
912163645
105946980
1133a2066
121ba9658
131302b30
14b0b3a4
157c7105
hex5abe64

5946980 has 48 divisors (see below), whose sum is σ = 13653360. Its totient is φ = 2162688.

The previous prime is 5946979. The next prime is 5947027. The reversal of 5946980 is 896495.

It can be written as a sum of positive squares in 8 ways, for example, as 61504 + 5885476 = 248^2 + 2426^2 .

It is a super-2 number, since 2×59469802 = 70733142240800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23012 + ... + 23268.

It is an arithmetic number, because the mean of its divisors is an integer number (284445).

Almost surely, 25946980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5946980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826680).

5946980 is an abundant number, since it is smaller than the sum of its proper divisors (7706380).

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

5946980 is a wasteful number, since it uses less digits than its factorization.

5946980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 5946980 is about 2438.6430653132. The cubic root of 5946980 is about 181.1752319438.

The spelling of 5946980 in words is "five million, nine hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 257 260 356 445 514 890 1028 1157 1285 1780 2314 2570 3341 4628 5140 5785 6682 11570 13364 16705 22873 23140 33410 45746 66820 91492 114365 228730 297349 457460 594698 1189396 1486745 2973490 5946980