| Base | Representation |
|---|---|
| bin | 10011010001100… |
| … | …10110110000000 |
| 3 | 102021020122120000 |
| 4 | 21220302312000 |
| 5 | 312343021320 |
| 6 | 24013320000 |
| 7 | 4002222246 |
| oct | 1150626600 |
| 9 | 367218500 |
| 10 | 161688960 |
| 11 | 832a6344 |
| 12 | 46196000 |
| 13 | 27662454 |
| 14 | 1768c796 |
| 15 | e2dcc90 |
| hex | 9a32d80 |
161688960 has 160 divisors (see below), whose sum is σ = 577605600. Its totient is φ = 43103232.
The previous prime is 161688959. The next prime is 161688983. The reversal of 161688960 is 69886161.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (160).
It is a super-2 number, since 2×1616889602 = 52286639571763200, which contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 19 ways as a sum of consecutive naturals, for example, 50281 + ... + 53399.
It is an arithmetic number, because the mean of its divisors is an integer number (3610035).
Almost surely, 2161688960 is an apocalyptic number.
161688960 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 161688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288802800).
161688960 is an abundant number, since it is smaller than the sum of its proper divisors (415916640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
161688960 is an equidigital number, since it uses as much as digits as its factorization.
161688960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3150 (or 3129 counting only the distinct ones).
The product of its (nonzero) digits is 124416, while the sum is 45.
The square root of 161688960 is about 12715.6973855153. The cubic root of 161688960 is about 544.7870671696.
The spelling of 161688960 in words is "one hundred sixty-one million, six hundred eighty-eight thousand, nine hundred sixty".
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