Base | Representation |
---|---|
bin | 100111011100… |
… | …111011101000 |
3 | 201110102201111 |
4 | 213130323220 |
5 | 10121421440 |
6 | 1005400104 |
7 | 153622645 |
oct | 47347350 |
9 | 21412644 |
10 | 10342120 |
11 | 5924208 |
12 | 3569034 |
13 | 21b14c9 |
14 | 1532dcc |
15 | d944ea |
hex | 9dcee8 |
10342120 has 64 divisors (see below), whose sum is σ = 25116480. Its totient is φ = 3818496.
The previous prime is 10342081. The next prime is 10342133. The reversal of 10342120 is 2124301.
10342120 = T215 + T216 + ... + T415.
It is a self number, because there is not a number n which added to its sum of digits gives 10342120.
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, 45447 + ... + 45673.
It is an arithmetic number, because the mean of its divisors is an integer number (392445).
Almost surely, 210342120 is an apocalyptic number.
10342120 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 10342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558240).
10342120 is an abundant number, since it is smaller than the sum of its proper divisors (14774360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10342120 is a wasteful number, since it uses less digits than its factorization.
10342120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 322 (or 318 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 10342120 is about 3215.9166655870. The cubic root of 10342120 is about 217.8728883310.
Adding to 10342120 its reverse (2124301), we get a palindrome (12466421).
The spelling of 10342120 in words is "ten million, three hundred forty-two thousand, one hundred twenty".
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