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114000300 = 223252177451
BaseRepresentation
bin1101100101110…
…00000110101100
321221111211000100
412302320012230
5213141002200
615151231100
72552662251
oct662700654
9257454010
10114000300
1159394127
1232218490
131a8060cb
14111d7428
15a01cd00
hex6cb81ac

114000300 has 108 divisors (see below), whose sum is σ = 378397656. Its totient is φ = 28608000.

The previous prime is 114000287. The next prime is 114000301. The reversal of 114000300 is 3000411.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (114000301) 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 35 ways as a sum of consecutive naturals, for example, 11575 + ... + 19025.

It is an arithmetic number, because the mean of its divisors is an integer number (3503682).

Almost surely, 2114000300 is an apocalyptic number.

114000300 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 114000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189198828).

114000300 is an abundant number, since it is smaller than the sum of its proper divisors (264397356).

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

114000300 is a wasteful number, since it uses less digits than its factorization.

114000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 114000300 is about 10677.0923008092. The cubic root of 114000300 is about 484.8811839176.

Adding to 114000300 its reverse (3000411), we get a palindrome (117000711).

The spelling of 114000300 in words is "one hundred fourteen million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7451 7650 14902 15300 22353 29804 37255 44706 67059 74510 89412 111765 126667 134118 149020 186275 223530 253334 268236 335295 372550 380001 447060 506668 558825 633335 670590 745100 760002 1117650 1140003 1266670 1341180 1520004 1676475 1900005 2235300 2280006 2533340 3166675 3352950 3800010 4560012 5700015 6333350 6705900 7600020 9500025 11400030 12666700 19000050 22800060 28500075 38000100 57000150 114000300