Search a number
-
+
68024840 = 23513130817
BaseRepresentation
bin1000000110111…
…11101000001000
311202000000112112
410003133220020
5114403243330
610430001452
71454126102
oct403375010
9152000475
1068024840
1135442084
121a946288
13111297b0
14906a572
155e8a795
hex40dfa08

68024840 has 32 divisors (see below), whose sum is σ = 164830680. Its totient is φ = 25116672.

The previous prime is 68024797. The next prime is 68024849. The reversal of 68024840 is 4842086.

It can be written as a sum of positive squares in 4 ways, for example, as 58277956 + 9746884 = 7634^2 + 3122^2 .

It is a junction number, because it is equal to n+sod(n) for n = 68024797 and 68024806.

It is not an unprimeable number, because it can be changed into a prime (68024849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64889 + ... + 65928.

Almost surely, 268024840 is an apocalyptic number.

It is an amenable number.

68024840 is an abundant number, since it is smaller than the sum of its proper divisors (96805840).

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

68024840 is a wasteful number, since it uses less digits than its factorization.

68024840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130841 (or 130837 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 68024840 is about 8247.7172599453. The cubic root of 68024840 is about 408.2152042945.

The spelling of 68024840 in words is "sixty-eight million, twenty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 130817 261634 523268 654085 1046536 1308170 1700621 2616340 3401242 5232680 6802484 8503105 13604968 17006210 34012420 68024840