Search a number
-
+
128026000 = 245364013
BaseRepresentation
bin1111010000110…
…00010110010000
322220220101122201
413220120112100
5230233313000
620412012544
73113126434
oct750302620
9286811581
10128026000
11662a3913
1236a61154
13206a713b
14130089c4
15b38d96a
hex7a18590

128026000 has 40 divisors (see below), whose sum is σ = 309571704. Its totient is φ = 51209600.

The previous prime is 128025983. The next prime is 128026021. The reversal of 128026000 is 620821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3748096 + 124277904 = 1936^2 + 11148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 30007 + ... + 34006.

Almost surely, 2128026000 is an apocalyptic number.

128026000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128026000 is an abundant number, since it is smaller than the sum of its proper divisors (181545704).

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

128026000 is an equidigital number, since it uses as much as digits as its factorization.

128026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64036 (or 64020 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 128026000 is about 11314.8574891600. The cubic root of 128026000 is about 504.0025405096.

Adding to 128026000 its reverse (620821), we get a palindrome (128646821).

The spelling of 128026000 in words is "one hundred twenty-eight million, twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 64013 128026 256052 320065 512104 640130 1024208 1280260 1600325 2560520 3200650 5121040 6401300 8001625 12802600 16003250 25605200 32006500 64013000 128026000