Search a number
-
+
2121380 = 225731453
BaseRepresentation
bin1000000101111010100100
310222202222122
420011322210
51020341010
6113245112
724013532
oct10057244
93882878
102121380
111219908
12863798
13593771
143d3152
152bd855
hex205ea4

2121380 has 24 divisors (see below), whose sum is σ = 4519032. Its totient is φ = 836352.

The previous prime is 2121377. The next prime is 2121389. The reversal of 2121380 is 831212.

It can be written as a sum of positive squares in 4 ways, for example, as 817216 + 1304164 = 904^2 + 1142^2 .

It is not an unprimeable number, because it can be changed into a prime (2121389) 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, 734 + ... + 2186.

It is an arithmetic number, because the mean of its divisors is an integer number (188293).

22121380 is an apocalyptic number.

2121380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121380 is an abundant number, since it is smaller than the sum of its proper divisors (2397652).

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

2121380 is a wasteful number, since it uses less digits than its factorization.

2121380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2121380 is about 1456.4957947073. The cubic root of 2121380 is about 128.4910338084.

Adding to 2121380 its reverse (831212), we get a palindrome (2952592).

The spelling of 2121380 in words is "two million, one hundred twenty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1453 1460 2906 5812 7265 14530 29060 106069 212138 424276 530345 1060690 2121380