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114667856 = 24172914537
BaseRepresentation
bin1101101010110…
…11000101010000
321222202201201122
412311123011100
5213323332411
615213421412
72561442422
oct665330520
9258681648
10114667856
11597aa726
123249a868
131a9aac04
141132c812
15a1009db
hex6d5b150

114667856 has 40 divisors (see below), whose sum is σ = 243366120. Its totient is φ = 52097024.

The previous prime is 114667841. The next prime is 114667901. The reversal of 114667856 is 658766411.

It can be written as a sum of positive squares in 4 ways, for example, as 18627856 + 96040000 = 4316^2 + 9800^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 620 + ... + 15156.

It is an arithmetic number, because the mean of its divisors is an integer number (6084153).

Almost surely, 2114667856 is an apocalyptic number.

114667856 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 114667856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121683060).

114667856 is an abundant number, since it is smaller than the sum of its proper divisors (128698264).

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

114667856 is a wasteful number, since it uses less digits than its factorization.

114667856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14591 (or 14585 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 114667856 is about 10708.3078028230. The cubic root of 114667856 is about 485.8257884066.

The spelling of 114667856 in words is "one hundred fourteen million, six hundred sixty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3944 7888 14537 29074 58148 116296 232592 247129 421573 494258 843146 988516 1686292 1977032 3372584 3954064 6745168 7166741 14333482 28666964 57333928 114667856