Search a number
-
+
2158500 = 223531439
BaseRepresentation
bin1000001110111110100100
311001122220110
420032332210
51023033000
6114133020
724230001
oct10167644
94048813
102158500
111244793
12881170
135a7626
144028a8
152c9850
hex20efa4

2158500 has 48 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 575200.

The previous prime is 2158483. The next prime is 2158501. The reversal of 2158500 is 58512.

2158500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158501) 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, 781 + ... + 2219.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

22158500 is an apocalyptic number.

2158500 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 2158500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2158500 is an abundant number, since it is smaller than the sum of its proper divisors (4131420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2158500 is a wasteful number, since it uses less digits than its factorization.

2158500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2158500 is about 1469.1834466805. The cubic root of 2158500 is about 129.2361517687.

The spelling of 2158500 in words is "two million, one hundred fifty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1439 1500 2878 4317 5756 7195 8634 14390 17268 21585 28780 35975 43170 71950 86340 107925 143900 179875 215850 359750 431700 539625 719500 1079250 2158500