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2502630 = 2335132331
BaseRepresentation
bin1001100010111111100110
311201010222000
421202333212
51120041010
6125350130
730162204
oct11427746
94633860
102502630
11145a299
12a08346
13698160
14492074
153467c0
hex262fe6

2502630 has 128 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 570240.

The previous prime is 2502629. The next prime is 2502637. The reversal of 2502630 is 362052.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502637) 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 63 ways as a sum of consecutive naturals, for example, 80715 + ... + 80745.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

22502630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

2502630 is an abundant number, since it is smaller than the sum of its proper divisors (5238810).

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

2502630 is a wasteful number, since it uses less digits than its factorization.

2502630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2502630 is about 1581.9702904922. The cubic root of 2502630 is about 135.7684569392.

Adding to 2502630 its reverse (362052), we get a palindrome (2864682).

The spelling of 2502630 in words is "two million, five hundred two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 27 30 31 39 45 46 54 62 65 69 78 90 93 115 117 130 135 138 155 186 195 207 230 234 270 279 299 310 345 351 390 403 414 465 558 585 598 621 690 702 713 806 837 897 930 1035 1170 1209 1242 1395 1426 1495 1674 1755 1794 2015 2070 2139 2418 2691 2790 2990 3105 3510 3565 3627 4030 4185 4278 4485 5382 6045 6210 6417 7130 7254 8073 8370 8970 9269 10695 10881 12090 12834 13455 16146 18135 18538 19251 21390 21762 26910 27807 32085 36270 38502 40365 46345 54405 55614 64170 80730 83421 92690 96255 108810 139035 166842 192510 250263 278070 417105 500526 834210 1251315 2502630