| Base | Representation |
|---|---|
| bin | 100110100011… |
| … | …011010000000 |
| 3 | 201000110111200 |
| 4 | 212203122000 |
| 5 | 10041401441 |
| 6 | 1000341200 |
| 7 | 151622001 |
| oct | 46433200 |
| 9 | 21013450 |
| 10 | 10106496 |
| 11 | 5783184 |
| 12 | 3474800 |
| 13 | 212b19a |
| 14 | 14b11a8 |
| 15 | d497b6 |
| hex | 9a3680 |
10106496 has 96 divisors (see below), whose sum is σ = 30126720. Its totient is φ = 3248640.
The previous prime is 10106491. The next prime is 10106501. The reversal of 10106496 is 69460101.
10106496 is a `hidden beast` number, since 1 + 0 + 10 + 649 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (10106491) and next prime (10106501).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×101064962 = 204282522796032, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (10106491) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35571 + ... + 35853.
It is an arithmetic number, because the mean of its divisors is an integer number (313820).
Almost surely, 210106496 is an apocalyptic number.
10106496 is a gapful number since it is divisible by the number (16) 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 10106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15063360).
10106496 is an abundant number, since it is smaller than the sum of its proper divisors (20020224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10106496 is a wasteful number, since it uses less digits than its factorization.
10106496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 334 (or 319 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 27.
The square root of 10106496 is about 3179.0715625792. The cubic root of 10106496 is about 216.2055656195.
Adding to 10106496 its reverse (69460101), we get a palindrome (79566597).
The spelling of 10106496 in words is "ten million, one hundred six thousand, four hundred ninety-six".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.063 sec. • engine limits •