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250240680 = 2332517311319
BaseRepresentation
bin11101110101001…
…01111010101000
3122102212112200100
432322211322220
51003030200210
640455305400
76126003444
oct1672457250
9572775610
10250240680
11119288588
126b97b260
133cac8111
142533d824
1516e805c0
hexeea5ea8

250240680 has 192 divisors, whose sum is σ = 889574400. Its totient is φ = 60733440.

The previous prime is 250240651. The next prime is 250240691. The reversal of 250240680 is 86042052.

250240680 is a `hidden beast` number, since 250 + 2 + 406 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189061 + ... + 190379.

It is an arithmetic number, because the mean of its divisors is an integer number (4633200).

Almost surely, 2250240680 is an apocalyptic number.

250240680 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 250240680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444787200).

250240680 is an abundant number, since it is smaller than the sum of its proper divisors (639333720).

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

250240680 is a wasteful number, since it uses less digits than its factorization.

250240680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 250240680 is about 15818.9974397874. The cubic root of 250240680 is about 630.1626186403.

The spelling of 250240680 in words is "two hundred fifty million, two hundred forty thousand, six hundred eighty".