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128790 = 235553
BaseRepresentation
bin11111011100010110
320112200000
4133130112
513110130
62432130
71044324
oct373426
9215600
10128790
1188842
1262646
134680c
1434d14
1528260
hex1f716

128790 has 48 divisors (see below), whose sum is σ = 353808. Its totient is φ = 33696.

The previous prime is 128767. The next prime is 128813. The reversal of 128790 is 97821.

It is an interprime number because it is at equal distance from previous prime (128767) and next prime (128813).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 11.

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 23 ways as a sum of consecutive naturals, for example, 2404 + ... + 2456.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2128790 is an apocalyptic number.

128790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904).

128790 is an abundant number, since it is smaller than the sum of its proper divisors (225018).

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

128790 is an equidigital number, since it uses as much as digits as its factorization.

128790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 128790 is about 358.8732366728. The cubic root of 128790 is about 50.5003104252.

The spelling of 128790 in words is "one hundred twenty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 243 265 270 318 405 477 486 530 795 810 954 1215 1431 1590 2385 2430 2862 4293 4770 7155 8586 12879 14310 21465 25758 42930 64395 128790