Search a number
-
+
16805796 = 2237593391
BaseRepresentation
bin100000000011…
…0111110100100
31011121211012220
41000012332210
513300241141
61400112340
7262563330
oct100067644
934554186
1016805796
119539497
1257656b0
133635577
1423367c0
15171e766
hex1006fa4

16805796 has 48 divisors (see below), whose sum is σ = 45588480. Its totient is φ = 4718880.

The previous prime is 16805759. The next prime is 16805797. The reversal of 16805796 is 69750861.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (16805797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3261 + ... + 6651.

It is an arithmetic number, because the mean of its divisors is an integer number (949760).

Almost surely, 216805796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16805796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22794240).

16805796 is an abundant number, since it is smaller than the sum of its proper divisors (28782684).

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

16805796 is a wasteful number, since it uses less digits than its factorization.

16805796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 16805796 is about 4099.4872850150. The cubic root of 16805796 is about 256.1452829318.

The spelling of 16805796 in words is "sixteen million, eight hundred five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 3391 4956 6782 10173 13564 20346 23737 40692 47474 71211 94948 142422 200069 284844 400138 600207 800276 1200414 1400483 2400828 2800966 4201449 5601932 8402898 16805796