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10805304 = 2334179139
BaseRepresentation
bin101001001110…
…000000111000
3202022222002110
4221032000320
510231232204
61023332320
7160562226
oct51160070
922288073
1010805304
116110204
1237510a0
132314293
141613b16
15e36889
hexa4e038

10805304 has 64 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 3444480.

The previous prime is 10805303. The next prime is 10805309. The reversal of 10805304 is 40350801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10805303) 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, 77667 + ... + 77805.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 210805304 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 10805304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

10805304 is an abundant number, since it is smaller than the sum of its proper divisors (17418696).

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

10805304 is a wasteful number, since it uses less digits than its factorization.

10805304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10805304 is about 3287.1422238778. The cubic root of 10805304 is about 221.0780693724.

The spelling of 10805304 in words is "ten million, eight hundred five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 41 79 82 123 139 158 164 237 246 278 316 328 417 474 492 556 632 834 948 984 1112 1668 1896 3239 3336 5699 6478 9717 10981 11398 12956 17097 19434 21962 22796 25912 32943 34194 38868 43924 45592 65886 68388 77736 87848 131772 136776 263544 450221 900442 1350663 1800884 2701326 3601768 5402652 10805304