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128730564 = 22323575849
BaseRepresentation
bin1111010110001…
…00010111000100
322222020012010200
413223010113010
5230423334224
620435050500
73122122524
oct753042704
9288205120
10128730564
11667351a6
1237140a30
1320892a41
141314d684
15b47c5c9
hex7ac45c4

128730564 has 18 divisors (see below), whose sum is σ = 325402350. Its totient is φ = 42910176.

The previous prime is 128730559. The next prime is 128730571. The reversal of 128730564 is 465037821.

128730564 is a `hidden beast` number, since 1 + 28 + 73 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73822464 + 54908100 = 8592^2 + 7410^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3575849 = 128730564 / (1 + 2 + 8 + 7 + 3 + 0 + 5 + 6 + 4).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1787889 + ... + 1787960.

Almost surely, 2128730564 is an apocalyptic number.

It is an amenable number.

128730564 is an abundant number, since it is smaller than the sum of its proper divisors (196671786).

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

128730564 is a wasteful number, since it uses less digits than its factorization.

128730564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575859 (or 3575854 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 128730564 is about 11345.9492330964. The cubic root of 128730564 is about 504.9254067519.

The spelling of 128730564 in words is "one hundred twenty-eight million, seven hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3575849 7151698 10727547 14303396 21455094 32182641 42910188 64365282 128730564