Search a number
-
+
2120526 = 233107367
BaseRepresentation
bin1000000101101101001110
310222201211000
420011231032
51020324101
6113241130
724011202
oct10055516
93881730
102120526
111219201
128631a6
13593265
143d2b02
152bd486
hex205b4e

2120526 has 32 divisors (see below), whose sum is σ = 4769280. Its totient is φ = 698328.

The previous prime is 2120513. The next prime is 2120537. The reversal of 2120526 is 6250212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120499 and 2120508.

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, 5595 + ... + 5961.

It is an arithmetic number, because the mean of its divisors is an integer number (149040).

22120526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384640).

2120526 is an abundant number, since it is smaller than the sum of its proper divisors (2648754).

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

2120526 is a wasteful number, since it uses less digits than its factorization.

2120526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2120526 is about 1456.2025957950. The cubic root of 2120526 is about 128.4737893620.

Adding to 2120526 its reverse (6250212), we get a palindrome (8370738).

The spelling of 2120526 in words is "two million, one hundred twenty thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 367 642 734 963 1101 1926 2202 2889 3303 5778 6606 9909 19818 39269 78538 117807 235614 353421 706842 1060263 2120526