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128133324 = 223211491659
BaseRepresentation
bin1111010001100…
…10100011001100
322221002211212200
413220302203030
5230300231244
620414201500
73114054354
oct750624314
9287084780
10128133324
1166367510
1236ab3290
1320713c47
1413035b64
15b3b0669
hex7a328cc

128133324 has 72 divisors (see below), whose sum is σ = 354594240. Its totient is φ = 38690400.

The previous prime is 128133319. The next prime is 128133353. The reversal of 128133324 is 423331821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194107 + ... + 194765.

It is an arithmetic number, because the mean of its divisors is an integer number (4924920).

Almost surely, 2128133324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128133324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177297120).

128133324 is an abundant number, since it is smaller than the sum of its proper divisors (226460916).

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

128133324 is a wasteful number, since it uses less digits than its factorization.

128133324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1166 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 128133324 is about 11319.5991095091. The cubic root of 128133324 is about 504.1433360270.

The spelling of 128133324 in words is "one hundred twenty-eight million, one hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 491 659 982 1318 1473 1964 1977 2636 2946 3954 4419 5401 5892 5931 7249 7908 8838 10802 11862 14498 16203 17676 21604 21747 23724 28996 32406 43494 48609 64812 65241 86988 97218 130482 194436 260964 323569 647138 970707 1294276 1941414 2912121 3559259 3882828 5824242 7118518 10677777 11648484 14237036 21355554 32033331 42711108 64066662 128133324