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114688 = 2147
BaseRepresentation
bin11100000000000000
312211022201
4130000000
512132223
62242544
7655240
oct340000
9184281
10114688
1179192
1256454
1340282
142db20
1523ead
hex1c000

114688 has 30 divisors (see below), whose sum is σ = 262136. Its totient is φ = 49152.

The previous prime is 114679. The next prime is 114689. The reversal of 114688 is 886411.

Multipling 114688 by its sum of digits (28), we get a square (3211264 = 17922).

114688 divided by its sum of digits (28) gives a 12-th power (4096 = 212).

It can be divided in two parts, 11468 and 8, that added together give a triangular number (11476 = T151).

It is an ABA number since it can be written as A⋅BA, here for A=7, B=4.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 10.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16381 + ... + 16387.

114688 is a Friedman number, since it can be written as 8^4*(6^(1+1)-8), using all its digits and the basic arithmetic operations.

2114688 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 114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131068).

114688 is an abundant number, since it is smaller than the sum of its proper divisors (147448).

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

114688 is an frugal number, since it uses more digits than its factorization.

114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 9 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 114688 is about 338.6561678163. The cubic root of 114688 is about 48.5854235500.

The spelling of 114688 in words is "one hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 8192 14336 16384 28672 57344 114688