Search a number
-
+
13704900 = 22352114153
BaseRepresentation
bin110100010001…
…111011000100
3221210021120220
4310101323010
512002024100
61205424340
7224326656
oct64217304
927707526
1013704900
117810770
12470b0b0
132abb011
141b6a6d6
15130aaa0
hexd11ec4

13704900 has 72 divisors (see below), whose sum is σ = 43268064. Its totient is φ = 3321600.

The previous prime is 13704893. The next prime is 13704923. The reversal of 13704900 is 940731.

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, 1224 + ... + 5376.

Almost surely, 213704900 is an apocalyptic number.

13704900 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 13704900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21634032).

13704900 is an abundant number, since it is smaller than the sum of its proper divisors (29563164).

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

13704900 is a wasteful number, since it uses less digits than its factorization.

13704900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13704900 is about 3702.0129659416. The cubic root of 13704900 is about 239.3087750001.

The spelling of 13704900 in words is "thirteen million, seven hundred four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 4153 8306 12459 16612 20765 24918 41530 45683 49836 62295 83060 91366 103825 124590 137049 182732 207650 228415 249180 274098 311475 415300 456830 548196 622950 685245 913660 1142075 1245900 1370490 2284150 2740980 3426225 4568300 6852450 13704900