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275427040 = 2557219432
BaseRepresentation
bin10000011010101…
…010111011100000
3201012021010212111
4100122222323200
51031002131130
643155205104
76553043200
oct2032527340
9635233774
10275427040
11131520459
12782a6794
13450a60a5
1428818400
15192a802a
hex106aaee0

275427040 has 216 divisors, whose sum is σ = 815731560. Its totient is φ = 87381504.

The previous prime is 275427037. The next prime is 275427049. The reversal of 275427040 is 40724572.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 275426993 and 275427011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275427049) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6405259 + ... + 6405301.

It is an arithmetic number, because the mean of its divisors is an integer number (3776535).

Almost surely, 2275427040 is an apocalyptic number.

275427040 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 275427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407865780).

275427040 is an abundant number, since it is smaller than the sum of its proper divisors (540304520).

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

275427040 is a wasteful number, since it uses less digits than its factorization.

275427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 275427040 is about 16595.9946975166. The cubic root of 275427040 is about 650.6321581702.

The spelling of 275427040 in words is "two hundred seventy-five million, four hundred twenty-seven thousand, forty".