Base | Representation |
---|---|
bin | 11110111011010000000 |
3 | 1220111002110 |
4 | 3313122000 |
5 | 224412001 |
6 | 33415320 |
7 | 11420310 |
oct | 3673200 |
9 | 1814073 |
10 | 1013376 |
11 | 632401 |
12 | 40a540 |
13 | 296340 |
14 | 1c5440 |
15 | 1503d6 |
hex | f7680 |
1013376 has 128 divisors (see below), whose sum is σ = 3427200. Its totient is φ = 258048.
The previous prime is 1013329. The next prime is 1013377. The reversal of 1013376 is 6733101.
1013376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1013377) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34930 + ... + 34958.
It is an arithmetic number, because the mean of its divisors is an integer number (26775).
21013376 is an apocalyptic number.
1013376 is a gapful number since it is divisible by the number (16) 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 1013376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713600).
1013376 is an abundant number, since it is smaller than the sum of its proper divisors (2413824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1013376 is a wasteful number, since it uses less digits than its factorization.
1013376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 66 (or 54 counting only the distinct ones).
The product of its (nonzero) digits is 378, while the sum is 21.
The square root of 1013376 is about 1006.6657836641. The cubic root of 1013376 is about 100.4438933382.
Adding to 1013376 its reverse (6733101), we get a palindrome (7746477).
The spelling of 1013376 in words is "one million, thirteen thousand, three hundred seventy-six".
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