Base | Representation |
---|---|
bin | 1100010101000… |
… | …01000010000000 |
3 | 21012121021121120 |
4 | 12022201002000 |
5 | 202433420112 |
6 | 14132352240 |
7 | 2364025062 |
oct | 612410200 |
9 | 235537546 |
10 | 103420032 |
11 | 53418001 |
12 | 2a775680 |
13 | 185703b1 |
14 | da41732 |
15 | 912ce8c |
hex | 62a1080 |
103420032 has 128 divisors (see below), whose sum is σ = 293025600. Its totient is φ = 32256000.
The previous prime is 103420019. The next prime is 103420033. The reversal of 103420032 is 230024301.
It is a tau number, because it is divible by the number of its divisors (128).
It is a junction number, because it is equal to n+sod(n) for n = 103419993 and 103420020.
It is not an unprimeable number, because it can be changed into a prime (103420033) 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 15 ways as a sum of consecutive naturals, for example, 411907 + ... + 412157.
Almost surely, 2103420032 is an apocalyptic number.
103420032 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 103420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146512800).
103420032 is an abundant number, since it is smaller than the sum of its proper divisors (189605568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103420032 is a wasteful number, since it uses less digits than its factorization.
103420032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 334 (or 322 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 103420032 is about 10169.5640024536. The cubic root of 103420032 is about 469.3911415823.
Adding to 103420032 its reverse (230024301), we get a palindrome (333444333).
The spelling of 103420032 in words is "one hundred three million, four hundred twenty thousand, thirty-two".
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