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270325440 = 263257112353
BaseRepresentation
bin10000000111001…
…101011011000000
3200211122221210100
4100013031123000
51023200403230
642454002400
76461504550
oct2007153300
9624587710
10270325440
11129656560
1276646400
134400aca8
1427c8b160
1518aeb660
hex101cd6c0

270325440 has 672 divisors, whose sum is σ = 1232464896. Its totient is φ = 52715520.

The previous prime is 270325411. The next prime is 270325519. The reversal of 270325440 is 44523072.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2703254402 = 146151687022387200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5100454 + ... + 5100506.

Almost surely, 2270325440 is an apocalyptic number.

270325440 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 270325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616232448).

270325440 is an abundant number, since it is smaller than the sum of its proper divisors (962139456).

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

270325440 is a wasteful number, since it uses less digits than its factorization.

270325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 270325440 is about 16441.5765667408. The cubic root of 270325440 is about 646.5899839399.

The spelling of 270325440 in words is "two hundred seventy million, three hundred twenty-five thousand, four hundred forty".