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13984500 = 223539323
BaseRepresentation
bin110101010110…
…001011110100
3222022111010110
4311112023310
512040001000
61215423020
7226603065
oct65261364
928274113
1013984500
117991842
124824a70
132b8836a
141c0056c
151363850
hexd562f4

13984500 has 48 divisors (see below), whose sum is σ = 40727232. Its totient is φ = 3728800.

The previous prime is 13984493. The next prime is 13984511. The reversal of 13984500 is 548931.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 3162 + ... + 6161.

It is an arithmetic number, because the mean of its divisors is an integer number (848484).

Almost surely, 213984500 is an apocalyptic number.

13984500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13984500 is an abundant number, since it is smaller than the sum of its proper divisors (26742732).

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

13984500 is a wasteful number, since it uses less digits than its factorization.

13984500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345 (or 9333 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13984500 is about 3739.5855385323. The cubic root of 13984500 is about 240.9252478457.

The spelling of 13984500 in words is "thirteen million, nine hundred eighty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 9323 18646 27969 37292 46615 55938 93230 111876 139845 186460 233075 279690 466150 559380 699225 932300 1165375 1398450 2330750 2796900 3496125 4661500 6992250 13984500