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14133780 = 22325233337
BaseRepresentation
bin110101111010…
…101000010100
3222121001220100
4311322220110
512104240110
61222534100
7231064233
oct65725024
928531810
1014133780
117a83a11
124897330
132c0b2ab
141c3cb1a
151392bc0
hexd7aa14

14133780 has 72 divisors (see below), whose sum is σ = 43184232. Its totient is φ = 3741696.

The previous prime is 14133731. The next prime is 14133787. The reversal of 14133780 is 8733141.

14133780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 14107536 = 162^2 + 3756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41772 + ... + 42108.

It is an arithmetic number, because the mean of its divisors is an integer number (599781).

Almost surely, 214133780 is an apocalyptic number.

14133780 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 14133780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21592116).

14133780 is an abundant number, since it is smaller than the sum of its proper divisors (29050452).

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

14133780 is a wasteful number, since it uses less digits than its factorization.

14133780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14133780 is about 3759.4919869578. The cubic root of 14133780 is about 241.7794817441.

The spelling of 14133780 in words is "fourteen million, one hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 337 466 674 699 932 1011 1165 1348 1398 1685 2022 2097 2330 2796 3033 3370 3495 4044 4194 4660 5055 6066 6740 6990 8388 10110 10485 12132 13980 15165 20220 20970 30330 41940 60660 78521 157042 235563 314084 392605 471126 706689 785210 942252 1177815 1413378 1570420 2355630 2826756 3533445 4711260 7066890 14133780