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10806804 = 2233472129
BaseRepresentation
bin101001001110…
…011000010100
3202100001011000
4221032120110
510231304204
61023343300
7160566501
oct51163024
922301130
1010806804
116111348
123751b30
132314b78
1416144a8
15e37039
hexa4e614

10806804 has 48 divisors (see below), whose sum is σ = 28627200. Its totient is φ = 3523968.

The previous prime is 10806799. The next prime is 10806869. The reversal of 10806804 is 40860801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4012 + ... + 6140.

It is an arithmetic number, because the mean of its divisors is an integer number (596400).

Almost surely, 210806804 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 10806804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313600).

10806804 is an abundant number, since it is smaller than the sum of its proper divisors (17820396).

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

10806804 is a wasteful number, since it uses less digits than its factorization.

10806804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10806804 is about 3287.3703776727. The cubic root of 10806804 is about 221.0882989708.

The spelling of 10806804 in words is "ten million, eight hundred six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2129 2538 4258 5076 6387 8516 12774 19161 25548 38322 57483 76644 100063 114966 200126 229932 300189 400252 600378 900567 1200756 1801134 2701701 3602268 5403402 10806804