Search a number
-
+
245613060 = 223457112179
BaseRepresentation
bin11101010001111…
…00001000000100
3122010011102210000
432220330020010
51000334104220
640212201300
76041451030
oct1650741004
9563142700
10245613060
11116707800
126a309230
133bb67994
14248971c0
1516869390
hexea3c204

245613060 has 360 divisors, whose sum is σ = 973304640. Its totient is φ = 50751360.

The previous prime is 245613029. The next prime is 245613061. The reversal of 245613060 is 60316542.

245613060 = T2961 + T2962 + ... + T3015.

245613060 is a `hidden beast` number, since 2 + 45 + 613 + 0 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (245613061) 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 119 ways as a sum of consecutive naturals, for example, 1372051 + ... + 1372229.

It is an arithmetic number, because the mean of its divisors is an integer number (2703624).

Almost surely, 2245613060 is an apocalyptic number.

245613060 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 245613060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486652320).

245613060 is an abundant number, since it is smaller than the sum of its proper divisors (727691580).

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

245613060 is a wasteful number, since it uses less digits than its factorization.

245613060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 245613060 is about 15672.0470902815. The cubic root of 245613060 is about 626.2539603177.

The spelling of 245613060 in words is "two hundred forty-five million, six hundred thirteen thousand, sixty".