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11342016 = 263272997
BaseRepresentation
bin101011010001…
…000011000000
3210100020022200
4223101003000
510400421031
61043033200
7165256050
oct53210300
923306280
1011342016
116447474
12396b800
13247166a
141713560
15ee08e6
hexad10c0

11342016 has 168 divisors, whose sum is σ = 38831520. Its totient is φ = 3096576.

The previous prime is 11342011. The next prime is 11342027. The reversal of 11342016 is 61024311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 11342016.

It is not an unprimeable number, because it can be changed into a prime (11342011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116880 + ... + 116976.

It is an arithmetic number, because the mean of its divisors is an integer number (231140).

Almost surely, 211342016 is an apocalyptic number.

11342016 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 11342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19415760).

11342016 is an abundant number, since it is smaller than the sum of its proper divisors (27489504).

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

11342016 is a wasteful number, since it uses less digits than its factorization.

11342016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11342016 is about 3367.7909673850. The cubic root of 11342016 is about 224.6794843786.

Adding to 11342016 its reverse (61024311), we get a palindrome (72366327).

It can be divided in two parts, 1134 and 2016, that multiplied together give a square (2286144 = 15122).

The spelling of 11342016 in words is "eleven million, three hundred forty-two thousand, sixteen".