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128880 = 24325179
BaseRepresentation
bin11111011101110000
320112210100
4133131300
513111010
62432400
71044513
oct373560
9215710
10128880
1188914
1262700
134687b
1434d7a
15282c0
hex1f770

128880 has 60 divisors (see below), whose sum is σ = 435240. Its totient is φ = 34176.

The previous prime is 128879. The next prime is 128903. The reversal of 128880 is 88821.

It is a Cunningham number, because it is equal to 3592-1.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1288802 = 33220108800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 631 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (7254).

2128880 is an apocalyptic number.

128880 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 128880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217620).

128880 is an abundant number, since it is smaller than the sum of its proper divisors (306360).

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

128880 is a wasteful number, since it uses less digits than its factorization.

128880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 128880 is about 358.9986072396. The cubic root of 128880 is about 50.5120710941.

The spelling of 128880 in words is "one hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 179 180 240 358 360 537 716 720 895 1074 1432 1611 1790 2148 2685 2864 3222 3580 4296 5370 6444 7160 8055 8592 10740 12888 14320 16110 21480 25776 32220 42960 64440 128880