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2631006 = 2327219157
BaseRepresentation
bin1010000010010101011110
311221200001200
422002111132
51133143011
6132220330
731235400
oct12022536
94850050
102631006
111537794
12a6a6a6
13711711
144c6b70
1536e856
hex28255e

2631006 has 72 divisors (see below), whose sum is σ = 7024680. Its totient is φ = 707616.

The previous prime is 2630989. The next prime is 2631007. The reversal of 2631006 is 6001362.

It is a happy number.

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

2631006 is an undulating number in base 12.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2631006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2631007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16680 + ... + 16836.

It is an arithmetic number, because the mean of its divisors is an integer number (97565).

22631006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512340).

2631006 is an abundant number, since it is smaller than the sum of its proper divisors (4393674).

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

2631006 is a wasteful number, since it uses less digits than its factorization.

2631006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2631006 is about 1622.0376074555. The cubic root of 2631006 is about 138.0513356583.

Adding to 2631006 its reverse (6001362), we get a palindrome (8632368).

The spelling of 2631006 in words is "two million, six hundred thirty-one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 157 171 266 294 314 342 399 441 471 798 882 931 942 1099 1197 1413 1862 2198 2394 2793 2826 2983 3297 5586 5966 6594 7693 8379 8949 9891 15386 16758 17898 19782 20881 23079 26847 41762 46158 53694 62643 69237 125286 138474 146167 187929 292334 375858 438501 877002 1315503 2631006