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10808896 = 267231049
BaseRepresentation
bin101001001110…
…111001000000
3202100011000111
4221032321000
510231341041
61023401104
7160605550
oct51167100
922304014
1010808896
11611297a
123753194
132315ac7
141615160
15e37981
hexa4ee40

10808896 has 56 divisors (see below), whose sum is σ = 25603200. Its totient is φ = 4426752.

The previous prime is 10808893. The next prime is 10808899. The reversal of 10808896 is 69880801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10808893) and next prime (10808899).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10808893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9780 + ... + 10828.

It is an arithmetic number, because the mean of its divisors is an integer number (457200).

Almost surely, 210808896 is an apocalyptic number.

10808896 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 10808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801600).

10808896 is an abundant number, since it is smaller than the sum of its proper divisors (14794304).

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

10808896 is a wasteful number, since it uses less digits than its factorization.

10808896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 10808896 is about 3287.6885497261. The cubic root of 10808896 is about 221.1025642700.

The spelling of 10808896 in words is "ten million, eight hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1049 1288 1472 2098 2576 4196 5152 7343 8392 10304 14686 16784 24127 29372 33568 48254 58744 67136 96508 117488 168889 193016 234976 337778 386032 469952 675556 772064 1351112 1544128 2702224 5404448 10808896