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275427540 = 223451773137
BaseRepresentation
bin10000011010101…
…011000011010100
3201012021011120000
4100122223003110
51031002140130
643155211300
76553044513
oct2032530324
9635234500
10275427540
11131520873
12782a6b30
13450a639b
142881867a
15192a8260
hex106ab0d4

275427540 has 240 divisors, whose sum is σ = 934152912. Its totient is φ = 67682304.

The previous prime is 275427521. The next prime is 275427563. The reversal of 275427540 is 45724572.

It is a happy number.

275427540 is a `hidden beast` number, since 2 + 7 + 542 + 75 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6533136 + 268894404 = 2556^2 + 16398^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 275427495 and 275427504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2010352 + ... + 2010488.

Almost surely, 2275427540 is an apocalyptic number.

275427540 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 275427540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467076456).

275427540 is an abundant number, since it is smaller than the sum of its proper divisors (658725372).

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

275427540 is a wasteful number, since it uses less digits than its factorization.

275427540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 275427540 is about 16596.0097613854. The cubic root of 275427540 is about 650.6325518811.

The spelling of 275427540 in words is "two hundred seventy-five million, four hundred twenty-seven thousand, five hundred forty".