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2122560 = 263251167
BaseRepresentation
bin1000000110001101000000
310222211121100
420012031000
51020410220
6113254400
724020136
oct10061500
93884540
102122560
11121a790
12864400
1359416b
143d3756
152bdd90
hex206340

2122560 has 168 divisors, whose sum is σ = 8083296. Its totient is φ = 506880.

The previous prime is 2122553. The next prime is 2122573. The reversal of 2122560 is 652212.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31647 + ... + 31713.

22122560 is an apocalyptic number.

2122560 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 2122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041648).

2122560 is an abundant number, since it is smaller than the sum of its proper divisors (5960736).

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

2122560 is a wasteful number, since it uses less digits than its factorization.

2122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

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

The square root of 2122560 is about 1456.9008202345. The cubic root of 2122560 is about 128.5148534158.

Adding to 2122560 its reverse (652212), we get a palindrome (2774772).

It can be divided in two parts, 212 and 2560, that added together give a palindrome (2772).

The spelling of 2122560 in words is "two million, one hundred twenty-two thousand, five hundred sixty".