Search a number
-
+
10804664 = 2313234517
BaseRepresentation
bin101001001101…
…110110111000
3202022221012202
4221031312320
510231222124
61023325332
7160560323
oct51156670
922287182
1010804664
11610a782
123750848
132313bc0
1416137ba
15e365ae
hexa4ddb8

10804664 has 32 divisors (see below), whose sum is σ = 22770720. Its totient is φ = 4768896.

The previous prime is 10804663. The next prime is 10804667. The reversal of 10804664 is 46640801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10804663) 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 7 ways as a sum of consecutive naturals, for example, 134 + ... + 4650.

It is an arithmetic number, because the mean of its divisors is an integer number (711585).

Almost surely, 210804664 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 10804664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11385360).

10804664 is an abundant number, since it is smaller than the sum of its proper divisors (11966056).

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

10804664 is a wasteful number, since it uses less digits than its factorization.

10804664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 10804664 is about 3287.0448734388. The cubic root of 10804664 is about 221.0737044556.

The spelling of 10804664 in words is "ten million, eight hundred four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 1196 2392 4517 9034 18068 36136 58721 103891 117442 207782 234884 415564 469768 831128 1350583 2701166 5402332 10804664