Search a number
-
+
245600640 = 2733561233
BaseRepresentation
bin11101010001110…
…01000110000000
3122010010210202000
432220321012000
51000333210030
640212024000
76041366565
oct1650710600
9563123660
10245600640
111166a943a
126a302000
133bb6212c
142489286c
1516865860
hexea39180

245600640 has 256 divisors, whose sum is σ = 887889600. Its totient is φ = 64143360.

The previous prime is 245600639. The next prime is 245600671. The reversal of 245600640 is 46006542.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1053964 + ... + 1054196.

Almost surely, 2245600640 is an apocalyptic number.

245600640 is a gapful number since it is divisible by the number (20) 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 245600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443944800).

245600640 is an abundant number, since it is smaller than the sum of its proper divisors (642288960).

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

245600640 is a wasteful number, since it uses less digits than its factorization.

245600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 245600640 is about 15671.6508383769. The cubic root of 245600640 is about 626.2434041401.

The spelling of 245600640 in words is "two hundred forty-five million, six hundred thousand, six hundred forty".