Base | Representation |
---|---|
bin | 100110111011… |
… | …000100100000 |
3 | 201012101110121 |
4 | 212323010200 |
5 | 10103002144 |
6 | 1002410024 |
7 | 152504410 |
oct | 46730440 |
9 | 21171417 |
10 | 10203424 |
11 | 5839a90 |
12 | 3500914 |
13 | 216333a |
14 | 14d8640 |
15 | d68384 |
hex | 9bb120 |
10203424 has 96 divisors (see below), whose sum is σ = 25909632. Its totient is φ = 3840000.
The previous prime is 10203397. The next prime is 10203443. The reversal of 10203424 is 42430201.
It is a super-2 number, since 2×102034242 = 208219722647552, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 10203398 and 10203407.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100974 + ... + 101074.
It is an arithmetic number, because the mean of its divisors is an integer number (269892).
Almost surely, 210203424 is an apocalyptic number.
10203424 is a gapful number since it is divisible by the number (14) 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 10203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954816).
10203424 is an abundant number, since it is smaller than the sum of its proper divisors (15706208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10203424 is a wasteful number, since it uses less digits than its factorization.
10203424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 170 (or 162 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 10203424 is about 3194.2798875490. The cubic root of 10203424 is about 216.8945526033.
Adding to 10203424 its reverse (42430201), we get a palindrome (52633625).
It can be divided in two parts, 1020 and 3424, that added together give a palindrome (4444).
The spelling of 10203424 in words is "ten million, two hundred three thousand, four hundred twenty-four".
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