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270056160 = 25335115683
BaseRepresentation
bin10000000110001…
…011101011100000
3200211011021102000
4100012023223200
51023113244120
642444124000
76456303513
oct2006135340
9624137360
10270056160
11129492210
1276536600
1343c4555a
1427c1ad7a
1518a96990
hex1018bae0

270056160 has 192 divisors, whose sum is σ = 1031304960. Its totient is φ = 65456640.

The previous prime is 270056141. The next prime is 270056161. The reversal of 270056160 is 61650072.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270056161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 44679 + ... + 50361.

It is an arithmetic number, because the mean of its divisors is an integer number (5371380).

Almost surely, 2270056160 is an apocalyptic number.

270056160 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 270056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515652480).

270056160 is an abundant number, since it is smaller than the sum of its proper divisors (761248800).

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

270056160 is a wasteful number, since it uses less digits than its factorization.

270056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 270056160 is about 16433.3855306811. The cubic root of 270056160 is about 646.3752161445.

The spelling of 270056160 in words is "two hundred seventy million, fifty-six thousand, one hundred sixty".