Search a number
-
+
6493480 = 235723313
BaseRepresentation
bin11000110001010100101000
3110012220101021
4120301110220
53130242410
6351102224
7106123300
oct30612450
913186337
106493480
113735714
122211974
1314647c6
14c10600
15883eda
hex631528

6493480 has 48 divisors (see below), whose sum is σ = 17000820. Its totient is φ = 2225664.

The previous prime is 6493469. The next prime is 6493493. The reversal of 6493480 is 843946.

6493480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6280036 + 213444 = 2506^2 + 462^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304 + ... + 3616.

Almost surely, 26493480 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 6493480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500410).

6493480 is an abundant number, since it is smaller than the sum of its proper divisors (10507340).

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

6493480 is a wasteful number, since it uses less digits than its factorization.

6493480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 6493480 is about 2548.2307587815. The cubic root of 6493480 is about 186.5631370351.

The spelling of 6493480 in words is "six million, four hundred ninety-three thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 3313 6626 13252 16565 23191 26504 33130 46382 66260 92764 115955 132520 162337 185528 231910 324674 463820 649348 811685 927640 1298696 1623370 3246740 6493480