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270512424 = 2332713194153
BaseRepresentation
bin10000000111111…
…011000100101000
3200212000110021200
4100013323010220
51023222344144
642502004200
76463213650
oct2007730450
9625013250
10270512424
11129773a96
1276716660
1344075130
1427cd9360
1518b36c69
hex101fb128

270512424 has 384 divisors, whose sum is σ = 990662400. Its totient is φ = 64696320.

The previous prime is 270512399. The next prime is 270512461. The reversal of 270512424 is 424215072.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5103982 + ... + 5104034.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2270512424 is an apocalyptic number.

270512424 is a gapful number since it is divisible by the number (24) 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 270512424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

270512424 is an abundant number, since it is smaller than the sum of its proper divisors (720149976).

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

270512424 is a wasteful number, since it uses less digits than its factorization.

270512424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 270512424 is about 16447.2618997814. The cubic root of 270512424 is about 646.7390315919.

Adding to 270512424 its reverse (424215072), we get a palindrome (694727496).

It can be divided in two parts, 2705 and 12424, that added together give a square (15129 = 1232).

The spelling of 270512424 in words is "two hundred seventy million, five hundred twelve thousand, four hundred twenty-four".