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10804040 = 2351379263
BaseRepresentation
bin101001001101…
…101101001000
3202022220100122
4221031231020
510231212130
61023322412
7160555442
oct51155510
922286318
1010804040
11610a265
123750408
132313830
141613492
15e362e5
hexa4db48

10804040 has 64 divisors (see below), whose sum is σ = 26611200. Its totient is φ = 3923712.

The previous prime is 10804039. The next prime is 10804049. The reversal of 10804040 is 4040801.

It is a happy number.

10804040 is a modest number, since divided by 4040 gives 1080 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10804049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40949 + ... + 41211.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 210804040 is an apocalyptic number.

10804040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10804040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13305600).

10804040 is an abundant number, since it is smaller than the sum of its proper divisors (15807160).

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

10804040 is a wasteful number, since it uses less digits than its factorization.

10804040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10804040 is about 3286.9499539847. The cubic root of 10804040 is about 221.0694484958.

Adding to 10804040 its reverse (4040801), we get a palindrome (14844841).

The spelling of 10804040 in words is "ten million, eight hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 130 158 260 263 316 395 520 526 632 790 1027 1052 1315 1580 2054 2104 2630 3160 3419 4108 5135 5260 6838 8216 10270 10520 13676 17095 20540 20777 27352 34190 41080 41554 68380 83108 103885 136760 166216 207770 270101 415540 540202 831080 1080404 1350505 2160808 2701010 5402020 10804040