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2099790 = 2335711101
BaseRepresentation
bin1000000000101001001110
310221200101000
420000221032
51014143130
6113001130
723563560
oct10005116
93850330
102099790
111204670
128531a6
135869a4
143c9330
152b7260
hex200a4e

2099790 has 128 divisors (see below), whose sum is σ = 7050240. Its totient is φ = 432000.

The previous prime is 2099771. The next prime is 2099809. The reversal of 2099790 is 979902.

It is an interprime number because it is at equal distance from previous prime (2099771) and next prime (2099809).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20740 + ... + 20840.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

22099790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2099790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525120).

2099790 is an abundant number, since it is smaller than the sum of its proper divisors (4950450).

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

2099790 is a wasteful number, since it uses less digits than its factorization.

2099790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 2099790 is about 1449.0652159237. The cubic root of 2099790 is about 128.0536477592.

It can be divided in two parts, 209 and 9790, that added together give a palindrome (9999).

The spelling of 2099790 in words is "two million, ninety-nine thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 101 105 110 126 135 154 165 189 198 202 210 231 270 297 303 315 330 378 385 462 495 505 594 606 630 693 707 770 909 945 990 1010 1111 1155 1386 1414 1485 1515 1818 1890 2079 2121 2222 2310 2727 2970 3030 3333 3465 3535 4158 4242 4545 5454 5555 6363 6666 6930 7070 7777 9090 9999 10395 10605 11110 12726 13635 15554 16665 19089 19998 20790 21210 23331 27270 29997 31815 33330 38178 38885 46662 49995 59994 63630 69993 77770 95445 99990 116655 139986 149985 190890 209979 233310 299970 349965 419958 699930 1049895 2099790