Base | Representation |
---|---|
bin | 100110010011… |
… | …011011000000 |
3 | 200220010200210 |
4 | 212103123000 |
5 | 10032303044 |
6 | 555114120 |
7 | 151230060 |
oct | 46233300 |
9 | 20803623 |
10 | 10041024 |
11 | 5738a74 |
12 | 3442940 |
13 | 2107446 |
14 | 14953a0 |
15 | d351b9 |
hex | 9936c0 |
10041024 has 112 divisors (see below), whose sum is σ = 31471616. Its totient is φ = 2764800.
The previous prime is 10041013. The next prime is 10041029. The reversal of 10041024 is 42014001.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (10041029) 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, 41544 + ... + 41784.
Almost surely, 210041024 is an apocalyptic number.
10041024 is a gapful number since it is divisible by the number (14) 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 10041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15735808).
10041024 is an abundant number, since it is smaller than the sum of its proper divisors (21430592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10041024 is a wasteful number, since it uses less digits than its factorization.
10041024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 294 (or 284 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
The square root of 10041024 is about 3168.7574851983. The cubic root of 10041024 is about 215.7376788095.
Adding to 10041024 its reverse (42014001), we get a palindrome (52055025).
The spelling of 10041024 in words is "ten million, forty-one thousand, twenty-four".
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