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10811696 = 247372609
BaseRepresentation
bin101001001111…
…100100110000
3202100021212012
4221033210300
510231433241
61023422052
7160616660
oct51174460
922307765
1010811696
116114a95
123754928
13231716c
1416161a0
15e386eb
hexa4f930

10811696 has 40 divisors (see below), whose sum is σ = 24596640. Its totient is φ = 4506624.

The previous prime is 10811687. The next prime is 10811699. The reversal of 10811696 is 69611801.

It is not an unprimeable number, because it can be changed into a prime (10811699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2840 + ... + 5448.

It is an arithmetic number, because the mean of its divisors is an integer number (614916).

Almost surely, 210811696 is an apocalyptic number.

10811696 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 10811696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12298320).

10811696 is an abundant number, since it is smaller than the sum of its proper divisors (13784944).

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

10811696 is a wasteful number, since it uses less digits than its factorization.

10811696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 10811696 is about 3288.1143532426. The cubic root of 10811696 is about 221.1216545247.

The spelling of 10811696 in words is "ten million, eight hundred eleven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 2609 4144 5218 10436 18263 20872 36526 41744 73052 96533 146104 193066 292208 386132 675731 772264 1351462 1544528 2702924 5405848 10811696