Search a number
-
+
2155580 = 225789173
BaseRepresentation
bin1000001110010000111100
311001111220022
420032100330
51022434310
6114111312
724215330
oct10162074
94044808
102155580
111242579
1287b538
135a61bb
144017c0
152c8a55
hex20e43c

2155580 has 48 divisors (see below), whose sum is σ = 5261760. Its totient is φ = 726528.

The previous prime is 2155579. The next prime is 2155597. The reversal of 2155580 is 855512.

2155580 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×21555803 = 30047869960563336000, which contains 333 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12374 + ... + 12546.

It is an arithmetic number, because the mean of its divisors is an integer number (109620).

22155580 is an apocalyptic number.

2155580 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 2155580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630880).

2155580 is an abundant number, since it is smaller than the sum of its proper divisors (3106180).

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

2155580 is a wasteful number, since it uses less digits than its factorization.

2155580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 2155580 is about 1468.1893610839. The cubic root of 2155580 is about 129.1778489567.

The spelling of 2155580 in words is "two million, one hundred fifty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 173 178 346 356 445 623 692 865 890 1211 1246 1730 1780 2422 2492 3115 3460 4844 6055 6230 12110 12460 15397 24220 30794 61588 76985 107779 153970 215558 307940 431116 538895 1077790 2155580