Search a number
-
+
2561130 = 23251113199
BaseRepresentation
bin1001110001010001101010
311211010012200
421301101222
51123424010
6130521030
730524565
oct11612152
94733180
102561130
11149a240
12a36176
136b8980
144a94dc
15358cc0
hex27146a

2561130 has 96 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 570240.

The previous prime is 2561129. The next prime is 2561137. The reversal of 2561130 is 311652.

2561130 is a `hidden beast` number, since 25 + 611 + 30 = 666.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12771 + ... + 12969.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

22561130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2561130 is an abundant number, since it is smaller than the sum of its proper divisors (5301270).

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

2561130 is a wasteful number, since it uses less digits than its factorization.

2561130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2561130 is about 1600.3530860407. The cubic root of 2561130 is about 136.8182006152.

Adding to 2561130 its reverse (311652), we get a palindrome (2872782).

The spelling of 2561130 in words is "two million, five hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 199 234 286 330 390 398 429 495 585 597 715 858 990 995 1170 1194 1287 1430 1791 1990 2145 2189 2574 2587 2985 3582 4290 4378 5174 5970 6435 6567 7761 8955 10945 12870 12935 13134 15522 17910 19701 21890 23283 25870 28457 32835 38805 39402 46566 56914 65670 77610 85371 98505 116415 142285 170742 197010 232830 256113 284570 426855 512226 853710 1280565 2561130