| Base | Representation |
|---|---|
| bin | 101000001001… |
| … | …010100010000 |
| 3 | 201210200002211 |
| 4 | 220021110100 |
| 5 | 10143231140 |
| 6 | 1013321504 |
| 7 | 155310661 |
| oct | 50112420 |
| 9 | 21720084 |
| 10 | 10523920 |
| 11 | 5a38860 |
| 12 | 3636294 |
| 13 | 2246194 |
| 14 | 157d368 |
| 15 | dcd2ea |
| hex | a09510 |
10523920 has 40 divisors (see below), whose sum is σ = 26694720. Its totient is φ = 3826560.
The previous prime is 10523917. The next prime is 10523923. The reversal of 10523920 is 2932501.
It is an interprime number because it is at equal distance from previous prime (10523917) and next prime (10523923).
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-2 number, since 2×105239202 = 221505784332800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 10523891 and 10523900.
It is not an unprimeable number, because it can be changed into a prime (10523923) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5100 + ... + 6859.
It is an arithmetic number, because the mean of its divisors is an integer number (667368).
Almost surely, 210523920 is an apocalyptic number.
10523920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10523920 is an abundant number, since it is smaller than the sum of its proper divisors (16170800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10523920 is a wasteful number, since it uses less digits than its factorization.
10523920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11983 (or 11977 counting only the distinct ones).
The product of its (nonzero) digits is 540, while the sum is 22.
The square root of 10523920 is about 3244.0591856500. The cubic root of 10523920 is about 219.1421135796.
It can be divided in two parts, 105 and 23920, that added together give a square (24025 = 1552).
The spelling of 10523920 in words is "ten million, five hundred twenty-three thousand, nine hundred twenty".
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