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14689800 = 2332528161
BaseRepresentation
bin111000000010…
…011000001000
31000122022121200
4320002120020
512230033200
61242504200
7235601256
oct70023010
930568550
1014689800
118323734
124b05060
1330743b8
141d455d6
151452800
hexe02608

14689800 has 72 divisors (see below), whose sum is σ = 49339290. Its totient is φ = 3916800.

The previous prime is 14689799. The next prime is 14689823. The reversal of 14689800 is 898641.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9998244 + 4691556 = 3162^2 + 2166^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2281 + ... + 5880.

Almost surely, 214689800 is an apocalyptic number.

14689800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14689800 is an abundant number, since it is smaller than the sum of its proper divisors (34649490).

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

14689800 is a wasteful number, since it uses less digits than its factorization.

14689800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183 (or 8171 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 14689800 is about 3832.7274883560. The cubic root of 14689800 is about 244.9093097630.

The spelling of 14689800 in words is "fourteen million, six hundred eighty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 8161 16322 24483 32644 40805 48966 65288 73449 81610 97932 122415 146898 163220 195864 204025 244830 293796 326440 367245 408050 489660 587592 612075 734490 816100 979320 1224150 1468980 1632200 1836225 2448300 2937960 3672450 4896600 7344900 14689800