Base | Representation |
---|---|
bin | 1000001000011111101110 |
3 | 11000022111010 |
4 | 20020133232 |
5 | 1021210300 |
6 | 113410050 |
7 | 24056412 |
oct | 10103756 |
9 | 4008433 |
10 | 2131950 |
11 | 1226847 |
12 | 869926 |
13 | 598512 |
14 | 3d6d42 |
15 | 2c1a50 |
hex | 2087ee |
2131950 has 48 divisors (see below), whose sum is σ = 5396976. Its totient is φ = 556800.
The previous prime is 2131937. The next prime is 2131951. The reversal of 2131950 is 591312.
2131950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2131951) 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 23 ways as a sum of consecutive naturals, for example, 9034 + ... + 9266.
It is an arithmetic number, because the mean of its divisors is an integer number (112437).
22131950 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2131950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698488).
2131950 is an abundant number, since it is smaller than the sum of its proper divisors (3265026).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131950 is a wasteful number, since it uses less digits than its factorization.
2131950 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 309 (or 304 counting only the distinct ones).
The product of its (nonzero) digits is 270, while the sum is 21.
The square root of 2131950 is about 1460.1198580938. The cubic root of 2131950 is about 128.7040870633.
It can be divided in two parts, 2131 and 950, that added together give a triangular number (3081 = T78).
The spelling of 2131950 in words is "two million, one hundred thirty-one thousand, nine hundred fifty".
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