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14482300 = 22527171217
BaseRepresentation
bin110111001111…
…101101111100
31000020202222111
4313033231330
512201413200
61234223404
7234045310
oct67175574
930222874
1014482300
1181a1848
124a24b64
133000b11
141ccdb40
1514110ba
hexdcfb7c

14482300 has 72 divisors (see below), whose sum is σ = 38060064. Its totient is φ = 4669440.

The previous prime is 14482291. The next prime is 14482309. The reversal of 14482300 is 328441.

It is an interprime number because it is at equal distance from previous prime (14482291) and next prime (14482309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14482309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11292 + ... + 12508.

It is an arithmetic number, because the mean of its divisors is an integer number (528612).

Almost surely, 214482300 is an apocalyptic number.

14482300 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 14482300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19030032).

14482300 is an abundant number, since it is smaller than the sum of its proper divisors (23577764).

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

14482300 is a wasteful number, since it uses less digits than its factorization.

14482300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 14482300 is about 3805.5617193786. The cubic root of 14482300 is about 243.7506859503.

The spelling of 14482300 in words is "fourteen million, four hundred eighty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1217 1700 2380 2434 2975 4868 5950 6085 8519 11900 12170 17038 20689 24340 30425 34076 41378 42595 60850 82756 85190 103445 121700 144823 170380 206890 212975 289646 413780 425950 517225 579292 724115 851900 1034450 1448230 2068900 2896460 3620575 7241150 14482300