Search a number
-
+
10804122 = 2327194513
BaseRepresentation
bin101001001101…
…101110011010
3202022220110200
4221031232122
510231212442
61023323030
7160555620
oct51155632
922286420
1010804122
11610a32a
123750476
132313894
141613510
15e3634c
hexa4db9a

10804122 has 48 divisors (see below), whose sum is σ = 28167360. Its totient is φ = 2923776.

The previous prime is 10804121. The next prime is 10804133. The reversal of 10804122 is 22140801.

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

It is a junction number, because it is equal to n+sod(n) for n = 10804095 and 10804104.

It is not an unprimeable number, because it can be changed into a prime (10804121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138 + ... + 4650.

It is an arithmetic number, because the mean of its divisors is an integer number (586820).

Almost surely, 210804122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10804122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14083680).

10804122 is an abundant number, since it is smaller than the sum of its proper divisors (17363238).

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

10804122 is a wasteful number, since it uses less digits than its factorization.

10804122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10804122 is about 3286.9624275309. The cubic root of 10804122 is about 221.0700077819.

Adding to 10804122 its reverse (22140801), we get a palindrome (32944923).

The spelling of 10804122 in words is "ten million, eight hundred four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 4513 9026 13539 27078 31591 40617 63182 81234 85747 94773 171494 189546 257241 284319 514482 568638 600229 771723 1200458 1543446 1800687 3601374 5402061 10804122