Search a number
-
+
128319000 = 2335342773
BaseRepresentation
bin1111010010111…
…11111000011000
322221110021120120
413221133320120
5230322202000
620422153240
73115456605
oct751377030
9287407516
10128319000
1166483a67
1236b82820
132077a604
14130836ac
15b3ea6a0
hex7a5fe18

128319000 has 64 divisors (see below), whose sum is σ = 400364640. Its totient is φ = 34217600.

The previous prime is 128318969. The next prime is 128319007. The reversal of 128319000 is 913821.

It is a super-2 number, since 2×1283190002 = 32931531522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128319007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18387 + ... + 24386.

Almost surely, 2128319000 is an apocalyptic number.

128319000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128319000 is an abundant number, since it is smaller than the sum of its proper divisors (272045640).

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

128319000 is a wasteful number, since it uses less digits than its factorization.

128319000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42797 (or 42783 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 128319000 is about 11327.7976676846. The cubic root of 128319000 is about 504.3867339101.

The spelling of 128319000 in words is "one hundred twenty-eight million, three hundred nineteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 42773 85546 128319 171092 213865 256638 342184 427730 513276 641595 855460 1026552 1069325 1283190 1710920 2138650 2566380 3207975 4277300 5132760 5346625 6415950 8554600 10693250 12831900 16039875 21386500 25663800 32079750 42773000 64159500 128319000