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14446980 = 2232583967
BaseRepresentation
bin110111000111…
…000110000100
31000011222112100
4313013012010
512144300410
61233352100
7233540322
oct67070604
930158470
1014446980
118178259
124a08630
132cbaa12
141cc0d12
1514058c0
hexdc7184

14446980 has 72 divisors (see below), whose sum is σ = 44396352. Its totient is φ = 3802176.

The previous prime is 14446963. The next prime is 14446981. The reversal of 14446980 is 8964441.

It is a happy number.

It is a super-2 number, since 2×144469802 = 417430462240800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14446981) by changing a digit.

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, 14457 + ... + 15423.

It is an arithmetic number, because the mean of its divisors is an integer number (616616).

Almost surely, 214446980 is an apocalyptic number.

14446980 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 14446980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22198176).

14446980 is an abundant number, since it is smaller than the sum of its proper divisors (29949372).

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

14446980 is a wasteful number, since it uses less digits than its factorization.

14446980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14446980 is about 3800.9183100930. The cubic root of 14446980 is about 243.5523684039.

The spelling of 14446980 in words is "fourteen million, four hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 967 996 1245 1494 1660 1934 2490 2901 2988 3735 3868 4835 4980 5802 7470 8703 9670 11604 14505 14940 17406 19340 29010 34812 43515 58020 80261 87030 160522 174060 240783 321044 401305 481566 722349 802610 963132 1203915 1444698 1605220 2407830 2889396 3611745 4815660 7223490 14446980