Base | Representation |
---|---|
bin | 100111110010… |
… | …101010010000 |
3 | 201121221210210 |
4 | 213302222100 |
5 | 10132243440 |
6 | 1011324120 |
7 | 154443300 |
oct | 47625220 |
9 | 21557723 |
10 | 10431120 |
11 | 5985067 |
12 | 35b0640 |
13 | 2212b7b |
14 | 1557600 |
15 | db0a80 |
hex | 9f2a90 |
10431120 has 120 divisors (see below), whose sum is σ = 37658304. Its totient is φ = 2381568.
The previous prime is 10431103. The next prime is 10431139. The reversal of 10431120 is 2113401.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 10431096 and 10431105.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11317 + ... + 12203.
Almost surely, 210431120 is an apocalyptic number.
10431120 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 10431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829152).
10431120 is an abundant number, since it is smaller than the sum of its proper divisors (27227184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10431120 is a wasteful number, since it uses less digits than its factorization.
10431120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 917 (or 904 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 10431120 is about 3229.7244464505. The cubic root of 10431120 is about 218.4960786998.
Adding to 10431120 its reverse (2113401), we get a palindrome (12544521).
The spelling of 10431120 in words is "ten million, four hundred thirty-one thousand, one hundred twenty".
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