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128065040 = 2451600813
BaseRepresentation
bin1111010001000…
…01111000010000
322220222101012122
413220201320100
5230241040130
620412513412
73113351315
oct750417020
9286871178
10128065040
1166320184
1236a7b868
13206bbb3c
1413018d0c
15b39a2e5
hex7a21e10

128065040 has 20 divisors (see below), whose sum is σ = 297751404. Its totient is φ = 51225984.

The previous prime is 128065033. The next prime is 128065121. The reversal of 128065040 is 40560821.

It can be written as a sum of positive squares in 2 ways, for example, as 59969536 + 68095504 = 7744^2 + 8252^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

128065040 is a modest number, since divided by 65040 gives 1280 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 800327 + ... + 800486.

Almost surely, 2128065040 is an apocalyptic number.

128065040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128065040 is an abundant number, since it is smaller than the sum of its proper divisors (169686364).

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

128065040 is a wasteful number, since it uses less digits than its factorization.

128065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600826 (or 1600820 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 128065040 is about 11316.5825230058. The cubic root of 128065040 is about 504.0537651554.

The spelling of 128065040 in words is "one hundred twenty-eight million, sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1600813 3201626 6403252 8004065 12806504 16008130 25613008 32016260 64032520 128065040