Base | Representation |
---|---|
bin | 11110101110101110000 |
3 | 1220011021211 |
4 | 3311311300 |
5 | 224210320 |
6 | 33325504 |
7 | 11362513 |
oct | 3656560 |
9 | 1804254 |
10 | 1006960 |
11 | 6285a9 |
12 | 406894 |
13 | 293446 |
14 | 1c2d7a |
15 | 14d55a |
hex | f5d70 |
1006960 has 40 divisors (see below), whose sum is σ = 2406096. Its totient is φ = 391680.
The previous prime is 1006949. The next prime is 1006969. The reversal of 1006960 is 696001.
It is a tau number, because it is divible by the number of its divisors (40).
It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1006969) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3127 + ... + 3433.
21006960 is an apocalyptic number.
1006960 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 1006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203048).
1006960 is an abundant number, since it is smaller than the sum of its proper divisors (1399136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1006960 is a wasteful number, since it uses less digits than its factorization.
1006960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 361 (or 355 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 22.
The square root of 1006960 is about 1003.4739657809. The cubic root of 1006960 is about 100.2314638316.
The spelling of 1006960 in words is "one million, six thousand, nine hundred sixty".
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