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2122580 = 225106129
BaseRepresentation
bin1000000110001101010100
310222211122002
420012031110
51020410310
6113254432
724020165
oct10061524
93884562
102122580
11121a7a9
12864418
13594185
143d376c
152bdda5
hex206354

2122580 has 12 divisors (see below), whose sum is σ = 4457460. Its totient is φ = 849024.

The previous prime is 2122573. The next prime is 2122619. The reversal of 2122580 is 852212.

It can be written as a sum of positive squares in 2 ways, for example, as 894916 + 1227664 = 946^2 + 1108^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 106129 = 2122580 / (2 + 1 + 2 + 2 + 5 + 8 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53045 + ... + 53084.

It is an arithmetic number, because the mean of its divisors is an integer number (371455).

22122580 is an apocalyptic number.

2122580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122580 is an abundant number, since it is smaller than the sum of its proper divisors (2334880).

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

2122580 is a wasteful number, since it uses less digits than its factorization.

2122580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106138 (or 106136 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2122580 is about 1456.9076841036. The cubic root of 2122580 is about 128.5152570619.

Adding to 2122580 its reverse (852212), we get a palindrome (2974792).

The spelling of 2122580 in words is "two million, one hundred twenty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 106129 212258 424516 530645 1061290 2122580