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114582440 = 23572291787
BaseRepresentation
bin1101101010001…
…10001110101000
321222121101120002
412311012032220
5213313114230
615211522132
72560635410
oct665061650
9258541502
10114582440
1159751535
1232459348
131a97b07b
1411309640
15a0d5545
hex6d463a8

114582440 has 64 divisors (see below), whose sum is σ = 296092800. Its totient is φ = 39091968.

The previous prime is 114582439. The next prime is 114582463. The reversal of 114582440 is 44285411.

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 15 ways as a sum of consecutive naturals, for example, 63227 + ... + 65013.

It is an arithmetic number, because the mean of its divisors is an integer number (4626450).

Almost surely, 2114582440 is an apocalyptic number.

114582440 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 114582440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148046400).

114582440 is an abundant number, since it is smaller than the sum of its proper divisors (181510360).

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

114582440 is a wasteful number, since it uses less digits than its factorization.

114582440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 114582440 is about 10704.3187545962. The cubic root of 114582440 is about 485.7051280198.

The spelling of 114582440 in words is "one hundred fourteen million, five hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 229 280 458 916 1145 1603 1787 1832 2290 3206 3574 4580 6412 7148 8015 8935 9160 12509 12824 14296 16030 17870 25018 32060 35740 50036 62545 64120 71480 100072 125090 250180 409223 500360 818446 1636892 2046115 2864561 3273784 4092230 5729122 8184460 11458244 14322805 16368920 22916488 28645610 57291220 114582440