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128418768 = 2432891797
BaseRepresentation
bin1111010011110…
…00001111010000
322221122100102200
413221320033100
5230333400033
620424243200
73116353512
oct751701720
9287570380
10128418768
1166541a15
1237010500
13207b3b4a
14130abbb2
15b41a013
hex7a783d0

128418768 has 30 divisors (see below), whose sum is σ = 359394594. Its totient is φ = 42806208.

The previous prime is 128418743. The next prime is 128418809. The reversal of 128418768 is 867814821.

It can be written as a sum of positive squares in only one way, i.e., 67765824 + 60652944 = 8232^2 + 7788^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 445755 + ... + 446042.

Almost surely, 2128418768 is an apocalyptic number.

128418768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

128418768 is an abundant number, since it is smaller than the sum of its proper divisors (230975826).

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

128418768 is a wasteful number, since it uses less digits than its factorization.

128418768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891811 (or 891802 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 128418768 is about 11332.2004924022. The cubic root of 128418768 is about 504.5174202455.

It can be divided in two parts, 12841 and 8768, that added together give a square (21609 = 1472).

The spelling of 128418768 in words is "one hundred twenty-eight million, four hundred eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 891797 1783594 2675391 3567188 5350782 7134376 8026173 10701564 14268752 16052346 21403128 32104692 42806256 64209384 128418768