Search a number
-
+
128340 = 223252331
BaseRepresentation
bin11111010101010100
320112001100
4133111110
513101330
62430100
71043112
oct372524
9215040
10128340
1188473
1262330
1346554
1434ab2
1528060
hex1f554

128340 has 72 divisors (see below), whose sum is σ = 419328. Its totient is φ = 31680.

The previous prime is 128339. The next prime is 128341. The reversal of 128340 is 43821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (128339) and next prime (128341).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4125 + ... + 4155.

It is an arithmetic number, because the mean of its divisors is an integer number (5824).

2128340 is an apocalyptic number.

128340 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 128340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664).

128340 is an abundant number, since it is smaller than the sum of its proper divisors (290988).

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

128340 is a wasteful number, since it uses less digits than its factorization.

128340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 128340 is about 358.2457257247. The cubic root of 128340 is about 50.4414247486.

The spelling of 128340 in words is "one hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 115 124 138 155 180 186 207 230 276 279 310 345 372 414 460 465 558 620 690 713 828 930 1035 1116 1380 1395 1426 1860 2070 2139 2790 2852 3565 4140 4278 5580 6417 7130 8556 10695 12834 14260 21390 25668 32085 42780 64170 128340