Search a number
-
+
2576106 = 23213101109
BaseRepresentation
bin1001110100111011101010
311211212202100
421310323222
51124413411
6131114230
730616341
oct11647352
94755670
102576106
1114aa515
12a42976
136c2730
144b0b58
1535d456
hex274eea

2576106 has 48 divisors (see below), whose sum is σ = 6126120. Its totient is φ = 777600.

The previous prime is 2576089. The next prime is 2576107. The reversal of 2576106 is 6016752.

It can be written as a sum of positive squares in 4 ways, for example, as 2480625 + 95481 = 1575^2 + 309^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2576106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2576107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23580 + ... + 23688.

22576106 is an apocalyptic number.

2576106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2576106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063060).

2576106 is an abundant number, since it is smaller than the sum of its proper divisors (3550014).

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

2576106 is a wasteful number, since it uses less digits than its factorization.

2576106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2576106 is about 1605.0252334465. The cubic root of 2576106 is about 137.0843602830.

The spelling of 2576106 in words is "two million, five hundred seventy-six thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 109 117 202 218 234 303 327 606 654 909 981 1313 1417 1818 1962 2626 2834 3939 4251 7878 8502 11009 11817 12753 22018 23634 25506 33027 66054 99081 143117 198162 286234 429351 858702 1288053 2576106