Search a number
-
+
114832384 = 210127883
BaseRepresentation
bin1101101100000…
…11010000000000
322000002002102021
412312003100000
5213344114014
615221131224
72563026202
oct666032000
9260062367
10114832384
11599022a7
1232559b14
131aa37a74
1411372772
15a134624
hex6d83400

114832384 has 44 divisors (see below), whose sum is σ = 231622144. Its totient is φ = 56899584.

The previous prime is 114832369. The next prime is 114832387. The reversal of 114832384 is 483238411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114832387) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129607 + ... + 130489.

Almost surely, 2114832384 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 114832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115811072).

114832384 is an abundant number, since it is smaller than the sum of its proper divisors (116789760).

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

114832384 is an equidigital number, since it uses as much as digits as its factorization.

114832384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1012 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 114832384 is about 10715.9873086898. The cubic root of 114832384 is about 486.0580352604.

The spelling of 114832384 in words is "one hundred fourteen million, eight hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 883 1016 1024 1766 2032 3532 4064 7064 8128 14128 16256 28256 32512 56512 65024 112141 113024 130048 224282 226048 448564 452096 897128 904192 1794256 3588512 7177024 14354048 28708096 57416192 114832384