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128275056 = 24337132251
BaseRepresentation
bin1111010010101…
…01001001110000
322221101001022000
413221111021300
5230314300211
620421214000
73115214520
oct751251160
9287331260
10128275056
1166453a48
1236b61300
1320763600
1413071680
15b3dc656
hex7a55270

128275056 has 240 divisors, whose sum is σ = 457470720. Its totient is φ = 33696000.

The previous prime is 128275039. The next prime is 128275057. The reversal of 128275056 is 650572821.

It is a happy number.

128275056 is a `hidden beast` number, since 128 + 27 + 505 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128275056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128275057) 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 47 ways as a sum of consecutive naturals, for example, 510931 + ... + 511181.

It is an arithmetic number, because the mean of its divisors is an integer number (1906128).

Almost surely, 2128275056 is an apocalyptic number.

128275056 is a gapful number since it is divisible by the number (16) 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 128275056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228735360).

128275056 is an abundant number, since it is smaller than the sum of its proper divisors (329195664).

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

128275056 is a wasteful number, since it uses less digits than its factorization.

128275056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 128275056 is about 11325.8578483045. The cubic root of 128275056 is about 504.3291500727.

The spelling of 128275056 in words is "one hundred twenty-eight million, two hundred seventy-five thousand, fifty-six".