Base | Representation |
---|---|
bin | 100111101000… |
… | …000101111000 |
3 | 201112202102112 |
4 | 213220011320 |
5 | 10124402312 |
6 | 1010351452 |
7 | 154203140 |
oct | 47500570 |
9 | 21482375 |
10 | 10387832 |
11 | 5955594 |
12 | 358b588 |
13 | 21c9260 |
14 | 1545920 |
15 | da2d22 |
hex | 9e8178 |
10387832 has 64 divisors (see below), whose sum is σ = 25267200. Its totient is φ = 3888000.
The previous prime is 10387807. The next prime is 10387837. The reversal of 10387832 is 23878301.
It is an alternating number because its digits alternate between odd and even.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10387837) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 13457 + ... + 14207.
It is an arithmetic number, because the mean of its divisors is an integer number (394800).
Almost surely, 210387832 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10387832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12633600).
10387832 is an abundant number, since it is smaller than the sum of its proper divisors (14879368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10387832 is a wasteful number, since it uses less digits than its factorization.
10387832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 796 (or 792 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 32.
The square root of 10387832 is about 3223.0159788620. The cubic root of 10387832 is about 218.1934147456.
The spelling of 10387832 in words is "ten million, three hundred eighty-seven thousand, eight hundred thirty-two".
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