Base | Representation |
---|---|
bin | 101000001101… |
… | …001111010000 |
3 | 201211111010210 |
4 | 220031033100 |
5 | 10144234414 |
6 | 1013524120 |
7 | 155405550 |
oct | 50151720 |
9 | 21744123 |
10 | 10539984 |
11 | 5a49934 |
12 | 3643640 |
13 | 22505a0 |
14 | 1585160 |
15 | dd2e59 |
hex | a0d3d0 |
10539984 has 160 divisors (see below), whose sum is σ = 35553280. Its totient is φ = 2612736.
The previous prime is 10539979. The next prime is 10540001. The reversal of 10539984 is 48993501.
It is a super-2 number, since 2×105399842 = 222182525440512, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82929 + ... + 83055.
It is an arithmetic number, because the mean of its divisors is an integer number (222208).
Almost surely, 210539984 is an apocalyptic number.
10539984 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 10539984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776640).
10539984 is an abundant number, since it is smaller than the sum of its proper divisors (25013296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10539984 is a wasteful number, since it uses less digits than its factorization.
10539984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 177 (or 171 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 39.
The square root of 10539984 is about 3246.5341519842. The cubic root of 10539984 is about 219.2535584047.
The spelling of 10539984 in words is "ten million, five hundred thirty-nine thousand, nine hundred eighty-four".
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