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114716288 = 277312277
BaseRepresentation
bin1101101011001…
…10111010000000
321222212012011102
412311212322000
5213331410123
615214433532
72562033551
oct665467200
9258765142
10114716288
1159833055
12325028a8
131a9c6c7b
1411342328
15a110028
hex6d66e80

114716288 has 32 divisors (see below), whose sum is σ = 231685860. Its totient is φ = 56567808.

The previous prime is 114716279. The next prime is 114716291. The reversal of 114716288 is 882617411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 109662784 + 5053504 = 10472^2 + 2248^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3206 + ... + 15482.

Almost surely, 2114716288 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 114716288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115842930).

114716288 is an abundant number, since it is smaller than the sum of its proper divisors (116969572).

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

114716288 is an equidigital number, since it uses as much as digits as its factorization.

114716288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12364 (or 12352 counting only the distinct ones).

The product of its digits is 21504, while the sum is 38.

The square root of 114716288 is about 10710.5689858196. The cubic root of 114716288 is about 485.8941778213.

The spelling of 114716288 in words is "one hundred fourteen million, seven hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 12277 24554 49108 98216 196432 392864 785728 896221 1571456 1792442 3584884 7169768 14339536 28679072 57358144 114716288