Base | Representation |
---|---|
bin | 101001110000001… |
… | …1001110001110000 |
3 | 10121122020022222110 |
4 | 1103200121301300 |
5 | 10332124044440 |
6 | 351004205320 |
7 | 46501221126 |
oct | 12340316160 |
9 | 3548208873 |
10 | 1401003120 |
11 | 659914420 |
12 | 331239840 |
13 | 19434023a |
14 | d40d3916 |
15 | 82ee2080 |
hex | 53819c70 |
1401003120 has 160 divisors (see below), whose sum is σ = 4751195904. Its totient is φ = 338688000.
The previous prime is 1401003083. The next prime is 1401003139. The reversal of 1401003120 is 213001041.
It is a happy number.
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 = 1401003096 and 1401003105.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1586199 + ... + 1587081.
Almost surely, 21401003120 is an apocalyptic number.
1401003120 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 1401003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375597952).
1401003120 is an abundant number, since it is smaller than the sum of its proper divisors (3350192784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1401003120 is a wasteful number, since it uses less digits than its factorization.
1401003120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1511 (or 1505 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 1401003120 is about 37429.9762222740. The cubic root of 1401003120 is about 1118.9560638288.
Adding to 1401003120 its reverse (213001041), we get a palindrome (1614004161).
The spelling of 1401003120 in words is "one billion, four hundred one million, three thousand, one hundred twenty".
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