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2606268 = 2237192371
BaseRepresentation
bin1001111100010010111100
311220102010110
421330102330
51131400033
6131510020
731103310
oct11742274
94812113
102606268
111520145
12a58310
13703392
144bbb40
15367363
hex27c4bc

2606268 has 96 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 665280.

The previous prime is 2606267. The next prime is 2606269. The reversal of 2606268 is 8626062.

It is an interprime number because it is at equal distance from previous prime (2606267) and next prime (2606269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2606267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36673 + ... + 36743.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

22606268 is an apocalyptic number.

2606268 is a gapful number since it is divisible by the number (28) 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 2606268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

2606268 is an abundant number, since it is smaller than the sum of its proper divisors (5135172).

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

2606268 is a wasteful number, since it uses less digits than its factorization.

2606268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2606268 is about 1614.3940039532. The cubic root of 2606268 is about 137.6172971540.

The spelling of 2606268 in words is "two million, six hundred six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 23 28 38 42 46 57 69 71 76 84 92 114 133 138 142 161 213 228 266 276 284 322 399 426 437 483 497 532 644 798 852 874 966 994 1311 1349 1491 1596 1633 1748 1932 1988 2622 2698 2982 3059 3266 4047 4899 5244 5396 5964 6118 6532 8094 9177 9443 9798 11431 12236 16188 18354 18886 19596 22862 28329 31027 34293 36708 37772 45724 56658 62054 68586 93081 113316 124108 137172 186162 217189 372324 434378 651567 868756 1303134 2606268