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250423680 = 27351379127
BaseRepresentation
bin11101110110100…
…10100110000000
3122110012211201010
432323102212000
51003102024210
640503240520
76130365123
oct1673224600
9573184633
10250423680
111193a3021
126ba49140
133cb604c0
142538a3ba
1516eb9920
hexeed2980

250423680 has 256 divisors, whose sum is σ = 877363200. Its totient is φ = 60383232.

The previous prime is 250423633. The next prime is 250423697. The reversal of 250423680 is 86324052.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1971777 + ... + 1971903.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2250423680 is an apocalyptic number.

250423680 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 250423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438681600).

250423680 is an abundant number, since it is smaller than the sum of its proper divisors (626939520).

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

250423680 is a wasteful number, since it uses less digits than its factorization.

250423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 250423680 is about 15824.7805671990. The cubic root of 250423680 is about 630.3161930041.

The spelling of 250423680 in words is "two hundred fifty million, four hundred twenty-three thousand, six hundred eighty".