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128466 = 2341361
BaseRepresentation
bin11111010111010010
320112020000
4133113102
513102331
62430430
71043352
oct372722
9215200
10128466
1188578
1262416
1346620
1434b62
15280e6
hex1f5d2

128466 has 40 divisors (see below), whose sum is σ = 315084. Its totient is φ = 38880.

The previous prime is 128461. The next prime is 128467. The reversal of 128466 is 664821.

It can be written as a sum of positive squares in 2 ways, for example, as 99225 + 29241 = 315^2 + 171^2 .

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

It is not an unprimeable number, because it can be changed into a prime (128461) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2076 + ... + 2136.

2128466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157542).

128466 is an abundant number, since it is smaller than the sum of its proper divisors (186618).

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

128466 is a wasteful number, since it uses less digits than its factorization.

128466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 128466 is about 358.4215395313. The cubic root of 128466 is about 50.4579265946.

The spelling of 128466 in words is "one hundred twenty-eight thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 81 117 122 162 183 234 351 366 549 702 793 1053 1098 1586 1647 2106 2379 3294 4758 4941 7137 9882 14274 21411 42822 64233 128466