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2630320 = 245721161
BaseRepresentation
bin1010000010001010110000
311221122010021
422002022300
51133132240
6132213224
731233400
oct12021260
94848107
102630320
111537220
12a6a214
13711304
144c6800
1536e54a
hex2822b0

2630320 has 120 divisors (see below), whose sum is σ = 7887888. Its totient is φ = 806400.

The previous prime is 2630317. The next prime is 2630321. The reversal of 2630320 is 230362.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2630294 and 2630303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2630321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43090 + ... + 43150.

22630320 is an apocalyptic number.

2630320 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 2630320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943944).

2630320 is an abundant number, since it is smaller than the sum of its proper divisors (5257568).

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

2630320 is a wasteful number, since it uses less digits than its factorization.

2630320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2630320 is about 1621.8261312484. The cubic root of 2630320 is about 138.0393362623.

Adding to 2630320 its reverse (230362), we get a palindrome (2860682).

The spelling of 2630320 in words is "two million, six hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 61 70 77 80 88 98 110 112 122 140 154 176 196 220 244 245 280 305 308 385 392 427 440 488 490 539 560 610 616 671 770 784 854 880 976 980 1078 1220 1232 1342 1540 1708 1960 2135 2156 2440 2684 2695 2989 3080 3355 3416 3920 4270 4312 4697 4880 5368 5390 5978 6160 6710 6832 8540 8624 9394 10736 10780 11956 13420 14945 17080 18788 21560 23485 23912 26840 29890 32879 34160 37576 43120 46970 47824 53680 59780 65758 75152 93940 119560 131516 164395 187880 239120 263032 328790 375760 526064 657580 1315160 2630320