| Base | Representation |
|---|---|
| bin | 100110101110… |
| … | …111100000000 |
| 3 | 201002212022000 |
| 4 | 212232330000 |
| 5 | 10044404403 |
| 6 | 1001344000 |
| 7 | 152206464 |
| oct | 46567400 |
| 9 | 21085260 |
| 10 | 10153728 |
| 11 | 5805712 |
| 12 | 3498000 |
| 13 | 2146830 |
| 14 | 14c44a4 |
| 15 | d587a3 |
| hex | 9aef00 |
10153728 has 144 divisors (see below), whose sum is σ = 32622240. Its totient is φ = 3096576.
The previous prime is 10153727. The next prime is 10153729. The reversal of 10153728 is 82735101.
10153728 is a `hidden beast` number, since 101 + 537 + 28 = 666.
It is an interprime number because it is at equal distance from previous prime (10153727) and next prime (10153729).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10153727) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89800 + ... + 89912.
Almost surely, 210153728 is an apocalyptic number.
10153728 is a gapful number since it is divisible by the number (18) 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 10153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311120).
10153728 is an abundant number, since it is smaller than the sum of its proper divisors (22468512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10153728 is a wasteful number, since it uses less digits than its factorization.
10153728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 151 (or 131 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 27.
The square root of 10153728 is about 3186.4914875141. The cubic root of 10153728 is about 216.5418494767.
Adding to 10153728 its reverse (82735101), we get a palindrome (92888829).
The spelling of 10153728 in words is "ten million, one hundred fifty-three thousand, seven hundred twenty-eight".
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