| Base | Representation |
|---|---|
| bin | 101001000100… |
| … | …001000000000 |
| 3 | 202020220112022 |
| 4 | 221010020000 |
| 5 | 10223433200 |
| 6 | 1022421012 |
| 7 | 160333154 |
| oct | 51041000 |
| 9 | 22226468 |
| 10 | 10764800 |
| 11 | 6092832 |
| 12 | 3731768 |
| 13 | 22cba07 |
| 14 | 1603064 |
| 15 | e29885 |
| hex | a44200 |
10764800 has 90 divisors (see below), whose sum is σ = 27622023. Its totient is φ = 4157440.
The previous prime is 10764779. The next prime is 10764821. The reversal of 10764800 is 846701.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (10764779) and next prime (10764821).
It can be written as a sum of positive squares in 5 ways, for example, as 4129024 + 6635776 = 2032^2 + 2576^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=2320.
It is a Duffinian number.
It is a nialpdrome in base 16.
It is a self number, because there is not a number n which added to its sum of digits gives 10764800.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 371186 + ... + 371214.
Almost surely, 210764800 is an apocalyptic number.
10764800 is a gapful number since it is divisible by the number (10) 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 10764800
10764800 is an abundant number, since it is smaller than the sum of its proper divisors (16857223).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10764800 is an frugal number, since it uses more digits than its factorization.
10764800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 86 (or 36 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 26.
The square root of 10764800 is about 3280.9754647056. The cubic root of 10764800 is about 220.8014842720.
The spelling of 10764800 in words is "ten million, seven hundred sixty-four thousand, eight hundred".
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