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114241024 = 29435189
BaseRepresentation
bin1101100111100…
…10111000000000
321221222001020001
412303302320000
5213221203044
615200325344
72555014132
oct663627000
9257861201
10114241024
1159538a77
1232313854
131a88b851
141125b052
15a0692d4
hex6cf2e00

114241024 has 40 divisors (see below), whose sum is σ = 233612280. Its totient is φ = 55781376.

The previous prime is 114240967. The next prime is 114241027. The reversal of 114241024 is 420142411.

It is a junction number, because it is equal to n+sod(n) for n = 114240992 and 114241010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114241027) 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, 19422 + ... + 24610.

It is an arithmetic number, because the mean of its divisors is an integer number (5840307).

Almost surely, 2114241024 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 114241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116806140).

114241024 is an abundant number, since it is smaller than the sum of its proper divisors (119371256).

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

114241024 is an frugal number, since it uses more digits than its factorization.

114241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 114241024 is about 10688.3592753986. The cubic root of 114241024 is about 485.2222370462. Note that the first 4 decimals are identical.

Adding to 114241024 its reverse (420142411), we get a palindrome (534383435).

The spelling of 114241024 in words is "one hundred fourteen million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1376 2752 5189 5504 10378 11008 20756 22016 41512 83024 166048 223127 332096 446254 664192 892508 1328384 1785016 2656768 3570032 7140064 14280128 28560256 57120512 114241024