Search a number
-
+
14419020 = 22357113121
BaseRepresentation
bin110111000000…
…010001001100
31000010120011210
4313000101030
512142402040
61233014420
7233362650
oct67002114
930116153
1014419020
118159250
1249b4410
132cab085
141cb4a60
1513ec480
hexdc044c

14419020 has 96 divisors (see below), whose sum is σ = 50351616. Its totient is φ = 2995200.

The previous prime is 14419019. The next prime is 14419049. The reversal of 14419020 is 2091441.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3060 + ... + 6180.

It is an arithmetic number, because the mean of its divisors is an integer number (524496).

Almost surely, 214419020 is an apocalyptic number.

14419020 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 14419020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25175808).

14419020 is an abundant number, since it is smaller than the sum of its proper divisors (35932596).

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

14419020 is a wasteful number, since it uses less digits than its factorization.

14419020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 14419020 is about 3797.2384702570. The cubic root of 14419020 is about 243.3951470326.

The spelling of 14419020 in words is "fourteen million, four hundred nineteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 3121 4620 6242 9363 12484 15605 18726 21847 31210 34331 37452 43694 46815 62420 65541 68662 87388 93630 102993 109235 131082 137324 171655 187260 205986 218470 240317 262164 327705 343310 411972 436940 480634 514965 655410 686620 720951 961268 1029930 1201585 1310820 1441902 2059860 2403170 2883804 3604755 4806340 7209510 14419020