Search a number
-
+
682076064 = 2538997823
BaseRepresentation
bin101000101001111…
…010011110100000
31202112110001110110
4220221322132200
52344102413224
6151403131320
722621356645
oct5051723640
91675401413
10682076064
1132001792a
12170513b40
13ab404c07
146682ddcc
153ed31929
hex28a7a7a0

682076064 has 96 divisors (see below), whose sum is σ = 1831455360. Its totient is φ = 222216192.

The previous prime is 682076053. The next prime is 682076069. The reversal of 682076064 is 460670286.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (682076069) 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, 828357 + ... + 829179.

It is an arithmetic number, because the mean of its divisors is an integer number (19077660).

Almost surely, 2682076064 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 682076064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915727680).

682076064 is an abundant number, since it is smaller than the sum of its proper divisors (1149379296).

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

682076064 is a wasteful number, since it uses less digits than its factorization.

682076064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 682076064 is about 26116.5859943447. The cubic root of 682076064 is about 880.2599369856.

The spelling of 682076064 in words is "six hundred eighty-two million, seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 97 178 194 267 291 356 388 534 582 712 776 823 1068 1164 1424 1552 1646 2136 2328 2469 2848 3104 3292 4272 4656 4938 6584 8544 8633 9312 9876 13168 17266 19752 25899 26336 34532 39504 51798 69064 73247 79008 79831 103596 138128 146494 159662 207192 219741 239493 276256 292988 319324 414384 439482 478986 585976 638648 828768 878964 957972 1171952 1277296 1757928 1915944 2343904 2554592 3515856 3831888 7031712 7104959 7663776 14209918 21314877 28419836 42629754 56839672 85259508 113679344 170519016 227358688 341038032 682076064