Base | Representation |
---|---|
bin | 1100010001111… |
… | …00010000000000 |
3 | 21011211022100200 |
4 | 12020330100000 |
5 | 202332212412 |
6 | 14115445200 |
7 | 2360355426 |
oct | 610742000 |
9 | 234738320 |
10 | 103007232 |
11 | 53165949 |
12 | 2a5b6800 |
13 | 18457533 |
14 | d975116 |
15 | 909a9dc |
hex | 623c400 |
103007232 has 66 divisors (see below), whose sum is σ = 297457758. Its totient is φ = 34332672.
The previous prime is 103007209. The next prime is 103007237. The reversal of 103007232 is 232700301.
It can be written as a sum of positive squares in only one way, i.e., 99680256 + 3326976 = 9984^2 + 1824^2 .
It is a super-2 number, since 2×1030072322 = 21220979688603648, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (103007237) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3628 + ... + 14804.
Almost surely, 2103007232 is an apocalyptic number.
103007232 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 103007232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148728879).
103007232 is an abundant number, since it is smaller than the sum of its proper divisors (194450526).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103007232 is a wasteful number, since it uses less digits than its factorization.
103007232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11203 (or 11182 counting only the distinct ones).
The product of its (nonzero) digits is 252, while the sum is 18.
The square root of 103007232 is about 10149.2478539052. The cubic root of 103007232 is about 468.7657854951.
Adding to 103007232 its reverse (232700301), we get a palindrome (335707533).
The spelling of 103007232 in words is "one hundred three million, seven thousand, two hundred thirty-two".
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