| Base | Representation |
|---|---|
| bin | 100101101111… |
| … | …010001110100 |
| 3 | 200121121121200 |
| 4 | 211233101310 |
| 5 | 10013033410 |
| 6 | 552012500 |
| 7 | 150042336 |
| oct | 45572164 |
| 9 | 20547550 |
| 10 | 9892980 |
| 11 | 5647819 |
| 12 | 3391130 |
| 13 | 2084c46 |
| 14 | 1457456 |
| 15 | d063c0 |
| hex | 96f474 |
9892980 has 144 divisors (see below), whose sum is σ = 32904144. Its totient is φ = 2396160.
The previous prime is 9892957. The next prime is 9893003. The reversal of 9892980 is 892989.
It is an interprime number because it is at equal distance from previous prime (9892957) and next prime (9893003).
It can be written as a sum of positive squares in 8 ways, for example, as 121104 + 9771876 = 348^2 + 3126^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 162150 + ... + 162210.
It is an arithmetic number, because the mean of its divisors is an integer number (228501).
Almost surely, 29892980 is an apocalyptic number.
9892980 is a gapful number since it is divisible by the number (90) 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 9892980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452072).
9892980 is an abundant number, since it is smaller than the sum of its proper divisors (23011164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9892980 is a wasteful number, since it uses less digits than its factorization.
9892980 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146 (or 141 counting only the distinct ones).
The product of its (nonzero) digits is 93312, while the sum is 45.
The square root of 9892980 is about 3145.3107954541. The cubic root of 9892980 is about 214.6721522116.
It can be divided in two parts, 989 and 2980, that added together give a square (3969 = 632).
The spelling of 9892980 in words is "nine million, eight hundred ninety-two thousand, nine hundred eighty".
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