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128960 = 2651331
BaseRepresentation
bin11111011111000000
320112220022
4133133000
513111320
62433012
71044656
oct373700
9215808
10128960
1188987
1262768
1346910
1434dd6
1528325
hex1f7c0

128960 has 56 divisors (see below), whose sum is σ = 341376. Its totient is φ = 46080.

The previous prime is 128959. The next prime is 128969. The reversal of 128960 is 69821.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4145 + ... + 4175.

It is an arithmetic number, because the mean of its divisors is an integer number (6096).

2128960 is an apocalyptic number.

128960 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 128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688).

128960 is an abundant number, since it is smaller than the sum of its proper divisors (212416).

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

128960 is a wasteful number, since it uses less digits than its factorization.

128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 128960 is about 359.1100109994. The cubic root of 128960 is about 50.5225204264.

The spelling of 128960 in words is "one hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 130 155 160 208 248 260 310 320 403 416 496 520 620 806 832 992 1040 1240 1612 1984 2015 2080 2480 3224 4030 4160 4960 6448 8060 9920 12896 16120 25792 32240 64480 128960