Base | Representation |
---|---|
bin | 100110101100… |
… | …100000000000 |
3 | 201002100121020 |
4 | 212230200000 |
5 | 10044044434 |
6 | 1001225440 |
7 | 152135412 |
oct | 46544000 |
9 | 21070536 |
10 | 10143744 |
11 | 57a9166 |
12 | 3492280 |
13 | 2142120 |
14 | 14c09b2 |
15 | d55849 |
hex | 9ac800 |
10143744 has 96 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 3096576.
The previous prime is 10143737. The next prime is 10143761. The reversal of 10143744 is 44734101.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79809 + ... + 79935.
It is an arithmetic number, because the mean of its divisors is an integer number (305760).
Almost surely, 210143744 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 10143744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).
10143744 is an abundant number, since it is smaller than the sum of its proper divisors (19209216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10143744 is a wasteful number, since it uses less digits than its factorization.
10143744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 165 (or 145 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 24.
The square root of 10143744 is about 3184.9244889008. The cubic root of 10143744 is about 216.4708521439.
Adding to 10143744 its reverse (44734101), we get a palindrome (54877845).
It can be divided in two parts, 1014 and 3744, that multiplied together give a cube (3796416 = 1563).
The spelling of 10143744 in words is "ten million, one hundred forty-three thousand, seven hundred forty-four".
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