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2530110 = 2351121741
BaseRepresentation
bin1001101001101100111110
311202112122210
421221230332
51121430420
6130121250
730335262
oct11515476
94675583
102530110
111478a00
12a20226
136a780b
1449c0a2
1534e9e0
hex269b3e

2530110 has 96 divisors (see below), whose sum is σ = 7239456. Its totient is φ = 563200.

The previous prime is 2530109. The next prime is 2530111. The reversal of 2530110 is 110352.

It is an interprime number because it is at equal distance from previous prime (2530109) and next prime (2530111).

It is a super-2 number, since 2×25301102 = 12802913224200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530111) 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 47 ways as a sum of consecutive naturals, for example, 61690 + ... + 61730.

It is an arithmetic number, because the mean of its divisors is an integer number (75411).

22530110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728).

2530110 is an abundant number, since it is smaller than the sum of its proper divisors (4709346).

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

2530110 is a wasteful number, since it uses less digits than its factorization.

2530110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 2530110 is about 1590.6319498866. The cubic root of 2530110 is about 136.2635819583.

Adding to 2530110 its reverse (110352), we get a palindrome (2640462).

It can be divided in two parts, 25 and 30110, that added together give a triangular number (30135 = T245).

The spelling of 2530110 in words is "two million, five hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 41 51 55 66 82 85 102 110 121 123 165 170 187 205 242 246 255 330 363 374 410 451 510 561 605 615 697 726 902 935 1122 1210 1230 1353 1394 1815 1870 2057 2091 2255 2706 2805 3485 3630 4114 4182 4510 4961 5610 6171 6765 6970 7667 9922 10285 10455 12342 13530 14883 15334 20570 20910 23001 24805 29766 30855 38335 46002 49610 61710 74415 76670 84337 115005 148830 168674 230010 253011 421685 506022 843370 1265055 2530110