Base | Representation |
---|---|
bin | 10100100001000… |
… | …10100100000000 |
3 | 102222211222211120 |
4 | 22100202210000 |
5 | 323024424112 |
6 | 25024512240 |
7 | 4156615455 |
oct | 1220424400 |
9 | 388758746 |
10 | 172108032 |
11 | 89172348 |
12 | 4977b680 |
13 | 2986c995 |
14 | 18c0182c |
15 | 10199e8c |
hex | a422900 |
172108032 has 72 divisors (see below), whose sum is σ = 472899840. Its totient is φ = 55511040.
The previous prime is 172108019. The next prime is 172108033. The reversal of 172108032 is 230801271.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 172107993 and 172108011.
It is not an unprimeable number, because it can be changed into a prime (172108033) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20194 + ... + 27422.
Almost surely, 2172108032 is an apocalyptic number.
172108032 is a gapful number since it is divisible by the number (12) 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 172108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236449920).
172108032 is an abundant number, since it is smaller than the sum of its proper divisors (300791808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
172108032 is an equidigital number, since it uses as much as digits as its factorization.
172108032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7279 (or 7265 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 24.
The square root of 172108032 is about 13118.9950834658. The cubic root of 172108032 is about 556.2461860278.
The spelling of 172108032 in words is "one hundred seventy-two million, one hundred eight thousand, thirty-two".
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