Base | Representation |
---|---|
bin | 100110101011… |
… | …111100011000 |
3 | 201002020110210 |
4 | 212223330120 |
5 | 10044011324 |
6 | 1001211120 |
7 | 152125644 |
oct | 46537430 |
9 | 21066423 |
10 | 10141464 |
11 | 57a7483 |
12 | 3490aa0 |
13 | 2141088 |
14 | 14bdc24 |
15 | d54d29 |
hex | 9abf18 |
10141464 has 64 divisors (see below), whose sum is σ = 26864640. Its totient is φ = 3185280.
The previous prime is 10141463. The next prime is 10141471. The reversal of 10141464 is 46414101.
It is a self number, because there is not a number n which added to its sum of digits gives 10141464.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10141463) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 31834 + ... + 32150.
It is an arithmetic number, because the mean of its divisors is an integer number (419760).
Almost surely, 210141464 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 10141464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13432320).
10141464 is an abundant number, since it is smaller than the sum of its proper divisors (16723176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10141464 is a wasteful number, since it uses less digits than its factorization.
10141464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 400 (or 396 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 10141464 is about 3184.5665325127. The cubic root of 10141464 is about 216.4546322773.
Adding to 10141464 its reverse (46414101), we get a palindrome (56555565).
The spelling of 10141464 in words is "ten million, one hundred forty-one thousand, four hundred sixty-four".
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