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2124020 = 225611741
BaseRepresentation
bin1000000110100011110100
310222220121102
420012203310
51020432040
6113305232
724024323
oct10064364
93886542
102124020
111220898
12865218
13594a22
143d40ba
152be515
hex2068f4

2124020 has 24 divisors (see below), whose sum is σ = 4536168. Its totient is φ = 835200.

The previous prime is 2124019. The next prime is 2124037. The reversal of 2124020 is 204212.

It can be written as a sum of positive squares in 4 ways, for example, as 258064 + 1865956 = 508^2 + 1366^2 .

It is a super-2 number, since 2×21240202 = 9022921920800, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2123992 and 2124010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350 + ... + 2090.

It is an arithmetic number, because the mean of its divisors is an integer number (189007).

22124020 is an apocalyptic number.

2124020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124020 is an abundant number, since it is smaller than the sum of its proper divisors (2412148).

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

2124020 is a wasteful number, since it uses less digits than its factorization.

2124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2124020 is about 1457.4017977209. The cubic root of 2124020 is about 128.5443129178.

Adding to 2124020 its reverse (204212), we get a palindrome (2328232).

The spelling of 2124020 in words is "two million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1741 3482 6964 8705 17410 34820 106201 212402 424804 531005 1062010 2124020