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8800116 = 22313192969
BaseRepresentation
bin100001100100…
…011101110100
3121120002111020
4201210131310
54223100431
6512341140
7134541213
oct41443564
917502436
108800116
114a70726
122b447b0
131a91690
14125107a
15b8c696
hex864774

8800116 has 48 divisors (see below), whose sum is σ = 23284800. Its totient is φ = 2564352.

The previous prime is 8800111. The next prime is 8800123. The reversal of 8800116 is 6110088.

8800116 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×88001162 = 154884083226912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8800111) 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 15 ways as a sum of consecutive naturals, for example, 1480 + ... + 4448.

It is an arithmetic number, because the mean of its divisors is an integer number (485100).

Almost surely, 28800116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8800116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642400).

8800116 is an abundant number, since it is smaller than the sum of its proper divisors (14484684).

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

8800116 is a wasteful number, since it uses less digits than its factorization.

8800116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 8800116 is about 2966.4989465698. The cubic root of 8800116 is about 206.4569302425.

The spelling of 8800116 in words is "eight million, eight hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 2969 5938 8907 11876 17814 35628 38597 56411 77194 112822 115791 154388 169233 225644 231582 338466 463164 676932 733343 1466686 2200029 2933372 4400058 8800116