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14720040 = 23325311319
BaseRepresentation
bin111000001001…
…110000101000
31000200212002200
4320021300220
512232020130
61243300200
7236055366
oct70116050
930625080
1014720040
118344425
124b1a660
1330850aa
141d52636
15145b760
hexe09c28

14720040 has 96 divisors (see below), whose sum is σ = 49420800. Its totient is φ = 3795840.

The previous prime is 14720033. The next prime is 14720053. The reversal of 14720040 is 4002741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14719995 and 14720022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10501 + ... + 11819.

It is an arithmetic number, because the mean of its divisors is an integer number (514800).

Almost surely, 214720040 is an apocalyptic number.

14720040 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 14720040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24710400).

14720040 is an abundant number, since it is smaller than the sum of its proper divisors (34700760).

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

14720040 is a wasteful number, since it uses less digits than its factorization.

14720040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 14720040 is about 3836.6704315070. The cubic root of 14720040 is about 245.0772489990.

Adding to 14720040 its reverse (4002741), we get a palindrome (18722781).

The spelling of 14720040 in words is "fourteen million, seven hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1319 1395 1860 2232 2638 2790 3720 3957 5276 5580 6595 7914 10552 11160 11871 13190 15828 19785 23742 26380 31656 39570 40889 47484 52760 59355 79140 81778 94968 118710 122667 158280 163556 204445 237420 245334 327112 368001 408890 474840 490668 613335 736002 817780 981336 1226670 1472004 1635560 1840005 2453340 2944008 3680010 4906680 7360020 14720040