Search a number
-
+
250200720 = 243257114513
BaseRepresentation
bin11101110100111…
…00001010010000
3122102210111212100
432322130022100
51003022410340
640454400400
76125446110
oct1672341220
9572714770
10250200720
11119260560
126b960100
133cab2b83
142532d040
1516e73830
hexee9c290

250200720 has 240 divisors, whose sum is σ = 1047825792. Its totient is φ = 51978240.

The previous prime is 250200689. The next prime is 250200749. The reversal of 250200720 is 27002052.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 250200693 and 250200702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53184 + ... + 57696.

Almost surely, 2250200720 is an apocalyptic number.

250200720 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 250200720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523912896).

250200720 is an abundant number, since it is smaller than the sum of its proper divisors (797625072).

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

250200720 is a wasteful number, since it uses less digits than its factorization.

250200720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 250200720 is about 15817.7343510378. The cubic root of 250200720 is about 630.1290740827.

Adding to 250200720 its reverse (27002052), we get a palindrome (277202772).

The spelling of 250200720 in words is "two hundred fifty million, two hundred thousand, seven hundred twenty".