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2631090 = 2357111767
BaseRepresentation
bin1010000010010110110010
311221200011210
422002112302
51133143330
6132220550
731235550
oct12022662
94850153
102631090
111537860
12a6a756
13711777
144c6bd0
1536e8b0
hex2825b2

2631090 has 128 divisors (see below), whose sum is σ = 8460288. Its totient is φ = 506880.

The previous prime is 2631077. The next prime is 2631091. The reversal of 2631090 is 901362.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2631091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39237 + ... + 39303.

It is an arithmetic number, because the mean of its divisors is an integer number (66096).

22631090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230144).

2631090 is an abundant number, since it is smaller than the sum of its proper divisors (5829198).

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

2631090 is a wasteful number, since it uses less digits than its factorization.

2631090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 2631090 is about 1622.0635006066. The cubic root of 2631090 is about 138.0528048287.

The spelling of 2631090 in words is "two million, six hundred thirty-one thousand, ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 17 21 22 30 33 34 35 42 51 55 66 67 70 77 85 102 105 110 119 134 154 165 170 187 201 210 231 238 255 330 335 357 374 385 402 462 469 510 561 595 670 714 737 770 935 938 1005 1122 1139 1155 1190 1309 1407 1474 1785 1870 2010 2211 2278 2310 2345 2618 2805 2814 3417 3570 3685 3927 4422 4690 5159 5610 5695 6545 6834 7035 7370 7854 7973 10318 11055 11390 12529 13090 14070 15477 15946 17085 19635 22110 23919 25058 25795 30954 34170 37587 39270 39865 47838 51590 62645 75174 77385 79730 87703 119595 125290 154770 175406 187935 239190 263109 375870 438515 526218 877030 1315545 2631090