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128380 = 22572131
BaseRepresentation
bin11111010101111100
320112002211
4133111330
513102010
62430204
71043200
oct372574
9215084
10128380
11884aa
1262364
1346585
1434b00
152808a
hex1f57c

128380 has 36 divisors (see below), whose sum is σ = 316008. Its totient is φ = 43680.

The previous prime is 128377. The next prime is 128389. The reversal of 128380 is 83821.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 915 + ... + 1045.

It is an arithmetic number, because the mean of its divisors is an integer number (8778).

2128380 is an apocalyptic number.

128380 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 128380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158004).

128380 is an abundant number, since it is smaller than the sum of its proper divisors (187628).

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

128380 is a wasteful number, since it uses less digits than its factorization.

128380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 128380 is about 358.3015489780. The cubic root of 128380 is about 50.4466645995.

The spelling of 128380 in words is "one hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 131 140 196 245 262 490 524 655 917 980 1310 1834 2620 3668 4585 6419 9170 12838 18340 25676 32095 64190 128380