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11834816 = 26726417
BaseRepresentation
bin101101001001…
…010111000000
3211021021022112
4231021113000
511012203231
61101354452
7202410560
oct55112700
924237275
1011834816
116753744
123b68a28
1325b4a66
141800da0
15108b92b
hexb495c0

11834816 has 28 divisors (see below), whose sum is σ = 26840688. Its totient is φ = 5071872.

The previous prime is 11834807. The next prime is 11834819. The reversal of 11834816 is 61843811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11834819) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12761 + ... + 13656.

It is an arithmetic number, because the mean of its divisors is an integer number (958596).

Almost surely, 211834816 is an apocalyptic number.

11834816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11834816 is an abundant number, since it is smaller than the sum of its proper divisors (15005872).

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

11834816 is an equidigital number, since it uses as much as digits as its factorization.

11834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26436 (or 26426 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 11834816 is about 3440.1767396458. The cubic root of 11834816 is about 227.8874996441.

The spelling of 11834816 in words is "eleven million, eight hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 26417 52834 105668 184919 211336 369838 422672 739676 845344 1479352 1690688 2958704 5917408 11834816