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247270240 = 25572329331
BaseRepresentation
bin11101011110100…
…00101101100000
3122020021122000001
432233100231200
51001300121430
640311505344
76061522330
oct1657205540
9566248001
10247270240
11117639878
126a988254
133c2c8069
1424ba90c0
1516a953ca
hexebd0b60

247270240 has 192 divisors, whose sum is σ = 722856960. Its totient is φ = 78059520.

The previous prime is 247270207. The next prime is 247270301. The reversal of 247270240 is 42072742.

247270240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2472702402 = 122285143179315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 247270199 and 247270208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746875 + ... + 747205.

It is an arithmetic number, because the mean of its divisors is an integer number (3764880).

Almost surely, 2247270240 is an apocalyptic number.

247270240 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 247270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361428480).

247270240 is an abundant number, since it is smaller than the sum of its proper divisors (475586720).

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

247270240 is a wasteful number, since it uses less digits than its factorization.

247270240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The square root of 247270240 is about 15724.8287749024. The cubic root of 247270240 is about 627.6592739716.

It can be divided in two parts, 2472702 and 40, that added together give a palindrome (2472742).

The spelling of 247270240 in words is "two hundred forty-seven million, two hundred seventy thousand, two hundred forty".