Search a number
-
+
128432070 = 232513313541
BaseRepresentation
bin1111010011110…
…11011111000110
322221200000200100
413221323133012
5230334311240
620424424530
73116440344
oct751733706
9287600610
10128432070
1166550a08
1237018146
13207b9c10
14130b2994
15b41de30
hex7a7b7c6

128432070 has 96 divisors (see below), whose sum is σ = 371314944. Its totient is φ = 30585600.

The previous prime is 128432063. The next prime is 128432089. The reversal of 128432070 is 70234821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34500 + ... + 38040.

It is an arithmetic number, because the mean of its divisors is an integer number (3867864).

Almost surely, 2128432070 is an apocalyptic number.

128432070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128432070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185657472).

128432070 is an abundant number, since it is smaller than the sum of its proper divisors (242882874).

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

128432070 is a wasteful number, since it uses less digits than its factorization.

128432070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 128432070 is about 11332.7873888113. The cubic root of 128432070 is about 504.5348394517.

Adding to 128432070 its reverse (70234821), we get a palindrome (198666891).

The spelling of 128432070 in words is "one hundred twenty-eight million, four hundred thirty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3541 3627 4030 6045 7082 7254 10623 12090 17705 18135 21246 31869 35410 36270 46033 53115 63738 92066 106230 109771 138099 159345 219542 230165 276198 318690 329313 414297 460330 548855 658626 690495 828594 987939 1097710 1380990 1427023 1646565 1975878 2071485 2854046 3293130 4142970 4281069 4939695 7135115 8562138 9879390 12843207 14270230 21405345 25686414 42810690 64216035 128432070