Search a number
-
+
128740 = 22541157
BaseRepresentation
bin11111011011100100
320112121011
4133123210
513104430
62432004
71044223
oct373344
9215534
10128740
11887a7
1262604
13467a1
1434cba
152822a
hex1f6e4

128740 has 24 divisors (see below), whose sum is σ = 278712. Its totient is φ = 49920.

The previous prime is 128717. The next prime is 128747. The reversal of 128740 is 47821.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 128164 = 24^2 + 358^2 .

It is not an unprimeable number, because it can be changed into a prime (128747) by changing a digit.

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, 742 + ... + 898.

It is an arithmetic number, because the mean of its divisors is an integer number (11613).

2128740 is an apocalyptic number.

128740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139356).

128740 is an abundant number, since it is smaller than the sum of its proper divisors (149972).

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

128740 is a wasteful number, since it uses less digits than its factorization.

128740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 128740 is about 358.8035674293. The cubic root of 128740 is about 50.4937743526.

It can be divided in two parts, 128 and 740, that added together give a palindrome (868).

The spelling of 128740 in words is "one hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 41 82 157 164 205 314 410 628 785 820 1570 3140 6437 12874 25748 32185 64370 128740