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13983900 = 2235276659
BaseRepresentation
bin110101010110…
…000010011100
3222022110022020
4311112002130
512034441100
61215420140
7226601250
oct65260234
928273266
1013983900
117991347
124824650
132b87cc8
141c00260
1513635a0
hexd5609c

13983900 has 72 divisors (see below), whose sum is σ = 46247040. Its totient is φ = 3195840.

The previous prime is 13983899. The next prime is 13983913. The reversal of 13983900 is 938931.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1230 + ... + 5429.

It is an arithmetic number, because the mean of its divisors is an integer number (642320).

Almost surely, 213983900 is an apocalyptic number.

13983900 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 13983900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23123520).

13983900 is an abundant number, since it is smaller than the sum of its proper divisors (32263140).

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

13983900 is a wasteful number, since it uses less digits than its factorization.

13983900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6683 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 13983900 is about 3739.5053148779. The cubic root of 13983900 is about 240.9218021924.

The spelling of 13983900 in words is "thirteen million, nine hundred eighty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 6659 13318 19977 26636 33295 39954 46613 66590 79908 93226 99885 133180 139839 166475 186452 199770 233065 279678 332950 399540 466130 499425 559356 665900 699195 932260 998850 1165325 1398390 1997700 2330650 2796780 3495975 4661300 6991950 13983900