Base | Representation |
---|---|
bin | 111110001110010110000 |
3 | 10211120221001 |
4 | 13301302300 |
5 | 1010221320 |
6 | 111411344 |
7 | 23221330 |
oct | 7616260 |
9 | 3746831 |
10 | 2038960 |
11 | 11729a0 |
12 | 823b54 |
13 | 5650b1 |
14 | 3b10c0 |
15 | 2a420a |
hex | 1f1cb0 |
2038960 has 80 divisors (see below), whose sum is σ = 5928192. Its totient is φ = 633600.
The previous prime is 2038957. The next prime is 2038969. The reversal of 2038960 is 698302.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (28).
It is not an unprimeable number, because it can be changed into a prime (2038969) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5995 + ... + 6325.
22038960 is an apocalyptic number.
2038960 is a gapful number since it is divisible by the number (20) 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 2038960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964096).
2038960 is an abundant number, since it is smaller than the sum of its proper divisors (3889232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2038960 is a wasteful number, since it uses less digits than its factorization.
2038960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 362 (or 356 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 28.
The square root of 2038960 is about 1427.9215664735. The cubic root of 2038960 is about 126.8049582261.
It can be divided in two parts, 20389 and 60, that added together give a square (20449 = 1432).
The spelling of 2038960 in words is "two million, thirty-eight thousand, nine hundred sixty".
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