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2153060 = 22572133
BaseRepresentation
bin1000001101101001100100
311001101102222
420031221210
51022344220
6114051512
724205100
oct10155144
94041388
102153060
111240698
12879b98
135a5000
14400900
152c7e25
hex20da64

2153060 has 72 divisors (see below), whose sum is σ = 5697720. Its totient is φ = 681408.

The previous prime is 2153059. The next prime is 2153069. The reversal of 2153060 is 603512.

2153060 = T39 + T40 + ... + T234.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 1350244 = 896^2 + 1162^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165614 + ... + 165626.

It is an arithmetic number, because the mean of its divisors is an integer number (79135).

22153060 is an apocalyptic number.

2153060 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 2153060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848860).

2153060 is an abundant number, since it is smaller than the sum of its proper divisors (3544660).

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

2153060 is a wasteful number, since it uses less digits than its factorization.

2153060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 2153060 is about 1467.3309101903. The cubic root of 2153060 is about 129.1274904893.

Adding to 2153060 its reverse (603512), we get a palindrome (2756572).

The spelling of 2153060 in words is "two million, one hundred fifty-three thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 169 182 196 245 260 338 364 455 490 637 676 845 910 980 1183 1274 1690 1820 2197 2366 2548 3185 3380 4394 4732 5915 6370 8281 8788 10985 11830 12740 15379 16562 21970 23660 30758 33124 41405 43940 61516 76895 82810 107653 153790 165620 215306 307580 430612 538265 1076530 2153060