| Base | Representation |
|---|---|
| bin | 10101011110110… |
| … | …01001100100000 |
| 3 | 110120001220121200 |
| 4 | 22233121030200 |
| 5 | 332112234003 |
| 6 | 25514121200 |
| 7 | 4315433100 |
| oct | 1257311440 |
| 9 | 416056550 |
| 10 | 180196128 |
| 11 | 92797022 |
| 12 | 50420200 |
| 13 | 2b442238 |
| 14 | 19d09200 |
| 15 | 10c466a3 |
| hex | abd9320 |
180196128 has 162 divisors, whose sum is σ = 601417089. Its totient is φ = 51028992.
The previous prime is 180196127. The next prime is 180196151. The reversal of 180196128 is 821691081.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 66389904 = 10668^2 + 8148^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=9492.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 180196092 and 180196101.
It is not an unprimeable number, because it can be changed into a prime (180196123) by changing a digit.
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 26 ways as a sum of consecutive naturals, for example, 1594600 + ... + 1594712.
Almost surely, 2180196128 is an apocalyptic number.
180196128 is a gapful number since it is divisible by the number (18) 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 180196128
180196128 is an abundant number, since it is smaller than the sum of its proper divisors (421220961).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
180196128 is a wasteful number, since it uses less digits than its factorization.
180196128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 256 (or 125 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 36.
The square root of 180196128 is about 13423.7151340454. The cubic root of 180196128 is about 564.8266134635.
The spelling of 180196128 in words is "one hundred eighty million, one hundred ninety-six thousand, one hundred twenty-eight".
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