Base | Representation |
---|---|
bin | 10100100001000… |
… | …01100000000000 |
3 | 102222211202212101 |
4 | 22100201200000 |
5 | 323024304210 |
6 | 25024440144 |
7 | 4156600000 |
oct | 1220414000 |
9 | 388752771 |
10 | 172103680 |
11 | 8916a051 |
12 | 49779054 |
13 | 2986a9c8 |
14 | 18c00000 |
15 | 10198a3a |
hex | a421800 |
172103680 has 144 divisors (see below), whose sum is σ = 481768560. Its totient is φ = 59006976.
The previous prime is 172103677. The next prime is 172103683. The reversal of 172103680 is 86301271.
It is an interprime number because it is at equal distance from previous prime (172103677) and next prime (172103683).
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (172103683) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24586237 + ... + 24586243.
It is an arithmetic number, because the mean of its divisors is an integer number (3345615).
Almost surely, 2172103680 is an apocalyptic number.
172103680 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 172103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240884280).
172103680 is an abundant number, since it is smaller than the sum of its proper divisors (309664880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
172103680 is an frugal number, since it uses more digits than its factorization.
172103680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 62 (or 14 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 28.
The square root of 172103680 is about 13118.8292160543. The cubic root of 172103680 is about 556.2414974924.
The spelling of 172103680 in words is "one hundred seventy-two million, one hundred three thousand, six hundred eighty".
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