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20700834 = 23721137173
BaseRepresentation
bin100111011110…
…1111010100010
31102221201012120
41032331322202
520244411314
62015405110
7340645200
oct116757242
942851176
1020700834
1110759930
126b23796
13439a41b
142a6c070
151c3d8a9
hex13bdea2

20700834 has 96 divisors (see below), whose sum is σ = 54271296. Its totient is φ = 5201280.

The previous prime is 20700833. The next prime is 20700887. The reversal of 20700834 is 43800702.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20700833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119572 + ... + 119744.

It is an arithmetic number, because the mean of its divisors is an integer number (565326).

Almost surely, 220700834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20700834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27135648).

20700834 is an abundant number, since it is smaller than the sum of its proper divisors (33570462).

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

20700834 is a wasteful number, since it uses less digits than its factorization.

20700834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20700834 is about 4549.8169193936. The cubic root of 20700834 is about 274.5760254714.

The spelling of 20700834 in words is "twenty million, seven hundred thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 49 66 74 77 98 111 147 154 173 222 231 259 294 346 407 462 518 519 539 777 814 1038 1078 1211 1221 1554 1617 1813 1903 2422 2442 2849 3234 3626 3633 3806 5439 5698 5709 6401 7266 8477 8547 10878 11418 12802 13321 16954 17094 19203 19943 25431 26642 38406 39886 39963 44807 50862 59829 70411 79926 89614 93247 119658 134421 140822 186494 211233 268842 279741 313649 422466 492877 559482 627298 940947 985754 1478631 1881894 2957262 3450139 6900278 10350417 20700834