| Base | Representation |
|---|---|
| bin | 101000110101… |
| … | …110000111100 |
| 3 | 202010220211210 |
| 4 | 220311300330 |
| 5 | 10220042410 |
| 6 | 1021244420 |
| 7 | 156666525 |
| oct | 50656074 |
| 9 | 22126753 |
| 10 | 10705980 |
| 11 | 605261a |
| 12 | 3703710 |
| 13 | 22aaccc |
| 14 | 15c984c |
| 15 | e17220 |
| hex | a35c3c |
10705980 has 48 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 2827008.
The previous prime is 10705967. The next prime is 10705993. The reversal of 10705980 is 8950701.
10705980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10705967) and next prime (10705993).
It is a super-2 number, since 2×107059802 = 229236015520800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a plaindrome in base 13.
It is a zygodrome in base 13.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5722 + ... + 7358.
It is an arithmetic number, because the mean of its divisors is an integer number (630630).
Almost surely, 210705980 is an apocalyptic number.
10705980 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 10705980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).
10705980 is an abundant number, since it is smaller than the sum of its proper divisors (19564260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10705980 is a wasteful number, since it uses less digits than its factorization.
10705980 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1758 (or 1756 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 30.
The square root of 10705980 is about 3271.9993887530. Note that the first 3 decimals coincide. The cubic root of 10705980 is about 220.3985887088.
The spelling of 10705980 in words is "ten million, seven hundred five thousand, nine hundred eighty".
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