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10853304 = 2337211839
BaseRepresentation
bin101001011001…
…101110111000
3202102101221020
4221121232320
510234301204
61024342440
7161152200
oct51315670
922371836
1010853304
116143280
123774a20
132330097
141627400
15e45bd9
hexa59bb8

10853304 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 2815680.

The previous prime is 10853267. The next prime is 10853341. The reversal of 10853304 is 40335801.

It is an interprime number because it is at equal distance from previous prime (10853267) and next prime (10853341).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 12517 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 210853304 is an apocalyptic number.

10853304 is a gapful number since it is divisible by the number (14) 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 10853304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

10853304 is an abundant number, since it is smaller than the sum of its proper divisors (23620296).

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

10853304 is a wasteful number, since it uses less digits than its factorization.

10853304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 10853304 is about 3294.4353082129. The cubic root of 10853304 is about 221.4049481166.

The spelling of 10853304 in words is "ten million, eight hundred fifty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 839 924 1078 1176 1617 1678 1848 2156 2517 3234 3356 4312 5034 5873 6468 6712 9229 10068 11746 12936 17619 18458 20136 23492 27687 35238 36916 41111 46984 55374 64603 70476 73832 82222 110748 123333 129206 140952 164444 193809 221496 246666 258412 328888 387618 452221 493332 516824 775236 904442 986664 1356663 1550472 1808884 2713326 3617768 5426652 10853304