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114005440 = 265894003
BaseRepresentation
bin1101100101110…
…01010111000000
321221112002001201
412302321113000
5213141133230
615151310544
72553013243
oct662712700
9257462051
10114005440
1159397a7a
123221b454
131a808553
14111d925a
15a01e5ca
hex6cb95c0

114005440 has 56 divisors (see below), whose sum is σ = 274594320. Its totient is φ = 45078528.

The previous prime is 114005431. The next prime is 114005449. The reversal of 114005440 is 44500411.

It is an interprime number because it is at equal distance from previous prime (114005431) and next prime (114005449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114005449) by changing a digit.

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, 26479 + ... + 30481.

It is an arithmetic number, because the mean of its divisors is an integer number (4903470).

Almost surely, 2114005440 is an apocalyptic number.

114005440 is a gapful number since it is divisible by the number (10) 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 114005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137297160).

114005440 is an abundant number, since it is smaller than the sum of its proper divisors (160588880).

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

114005440 is an equidigital number, since it uses as much as digits as its factorization.

114005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 114005440 is about 10677.3330003330. Note that the first 3 decimals coincide. The cubic root of 114005440 is about 484.8884711845. Note that the first 3 decimals are identical.

Adding to 114005440 its reverse (44500411), we get a palindrome (158505851).

The spelling of 114005440 in words is "one hundred fourteen million, five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 320 356 445 712 890 1424 1780 2848 3560 4003 5696 7120 8006 14240 16012 20015 28480 32024 40030 64048 80060 128096 160120 256192 320240 356267 640480 712534 1280960 1425068 1781335 2850136 3562670 5700272 7125340 11400544 14250680 22801088 28501360 57002720 114005440