Search a number
-
+
128782032 = 24311323743
BaseRepresentation
bin1111010110100…
…00111011010000
322222022210201220
413223100323100
5230432011112
620440125040
73122425551
oct753207320
9288283656
10128782032
116676a935
1237166780
13208b02b2
1413164328
15b48c98c
hex7ad0ed0

128782032 has 40 divisors (see below), whose sum is σ = 335645184. Its totient is φ = 42545664.

The previous prime is 128782007. The next prime is 128782063. The reversal of 128782032 is 230287821.

It is a junction number, because it is equal to n+sod(n) for n = 128781984 and 128782002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6448 + ... + 17295.

Almost surely, 2128782032 is an apocalyptic number.

128782032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

128782032 is an abundant number, since it is smaller than the sum of its proper divisors (206863152).

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

128782032 is a wasteful number, since it uses less digits than its factorization.

128782032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23867 (or 23861 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 128782032 is about 11348.2171286947. The cubic root of 128782032 is about 504.9926894998.

The spelling of 128782032 in words is "one hundred twenty-eight million, seven hundred eighty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 23743 47486 71229 94972 142458 189944 284916 379888 569832 1139664 2682959 5365918 8048877 10731836 16097754 21463672 32195508 42927344 64391016 128782032