Search a number
-
+
128778 = 23132127
BaseRepresentation
bin11111011100001010
320112122120
4133130022
513110103
62432110
71044306
oct373412
9215576
10128778
1188831
1262636
1346800
1434d06
1528253
hex1f70a

128778 has 24 divisors (see below), whose sum is σ = 281088. Its totient is φ = 39312.

The previous prime is 128767. The next prime is 128813. The reversal of 128778 is 877821.

128778 is a nontrivial binomial coefficient, being equal to C(508, 2).

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 951 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (11712).

2128778 is an apocalyptic number.

128778 is the 507-th triangular number and also the 254-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140544).

128778 is an abundant number, since it is smaller than the sum of its proper divisors (152310).

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

128778 is a wasteful number, since it uses less digits than its factorization.

128778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its digits is 6272, while the sum is 33.

The square root of 128778 is about 358.8565172879. The cubic root of 128778 is about 50.4987419221.

The spelling of 128778 in words is "one hundred twenty-eight thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 13 26 39 78 127 169 254 338 381 507 762 1014 1651 3302 4953 9906 21463 42926 64389 128778