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10803296 = 257172837
BaseRepresentation
bin101001001101…
…100001100000
3202022212100002
4221031201200
510231201141
61023315132
7160553330
oct51154140
922285302
1010803296
116109749
12374baa8
1323133aa
1416130c0
15e35e9b
hexa4d860

10803296 has 48 divisors (see below), whose sum is σ = 25746336. Its totient is φ = 4356096.

The previous prime is 10803271. The next prime is 10803301. The reversal of 10803296 is 69230801.

It is a super-2 number, since 2×108032962 = 233422408927232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2390 + ... + 5226.

It is an arithmetic number, because the mean of its divisors is an integer number (536382).

Almost surely, 210803296 is an apocalyptic number.

10803296 is a gapful number since it is divisible by the number (16) 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 10803296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12873168).

10803296 is an abundant number, since it is smaller than the sum of its proper divisors (14943040).

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

10803296 is a wasteful number, since it uses less digits than its factorization.

10803296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10803296 is about 3286.8367772069. The cubic root of 10803296 is about 221.0643738680.

The spelling of 10803296 in words is "ten million, eight hundred three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 2837 3808 5674 11348 19859 22696 39718 45392 48229 79436 90784 96458 158872 192916 317744 337603 385832 635488 675206 771664 1350412 1543328 2700824 5401648 10803296