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128728401 = 31923149659
BaseRepresentation
bin1111010110000…
…11110101010001
322222020002011120
413223003311101
5230423302101
620435032453
73122113314
oct753036521
9288202146
10128728401
116673360a
123713b729
1320891a69
141314c97b
15b47bb36
hex7ac3d51

128728401 has 32 divisors (see below), whose sum is σ = 190080000. Its totient is φ = 77128128.

The previous prime is 128728349. The next prime is 128728423. The reversal of 128728401 is 104827821.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-128728401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (128728451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195010 + ... + 195668.

It is an arithmetic number, because the mean of its divisors is an integer number (5940000).

Almost surely, 2128728401 is an apocalyptic number.

It is an amenable number.

128728401 is a deficient number, since it is larger than the sum of its proper divisors (61351599).

128728401 is a wasteful number, since it uses less digits than its factorization.

128728401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853.

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 128728401 is about 11345.8539123329. The cubic root of 128728401 is about 504.9225787269.

The spelling of 128728401 in words is "one hundred twenty-eight million, seven hundred twenty-eight thousand, four hundred one".

Divisors: 1 3 19 23 57 69 149 437 447 659 1311 1977 2831 3427 8493 10281 12521 15157 37563 45471 65113 98191 195339 287983 294573 863949 1865629 2258393 5596887 6775179 42909467 128728401