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14442090 = 23513191949
BaseRepresentation
bin110111000101…
…111001101010
31000011201211020
4313011321222
512144121330
61233313310
7233520135
oct67057152
930151736
1014442090
118174613
124a05836
132cb8720
141cbd21c
151404210
hexdc5e6a

14442090 has 64 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 3366144.

The previous prime is 14442089. The next prime is 14442107. The reversal of 14442090 is 9024441.

14442090 = 10482 + 10492 + ... + 10602.

It is a self number, because there is not a number n which added to its sum of digits gives 14442090.

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, 6436 + ... + 8384.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 214442090 is an apocalyptic number.

14442090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14442090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

14442090 is an abundant number, since it is smaller than the sum of its proper divisors (24869910).

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

14442090 is a wasteful number, since it uses less digits than its factorization.

14442090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14442090 is about 3800.2749900501. The cubic root of 14442090 is about 243.5248861786.

The spelling of 14442090 in words is "fourteen million, four hundred forty-two thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 1949 2470 3705 3898 5847 7410 9745 11694 19490 25337 29235 37031 50674 58470 74062 76011 111093 126685 152022 185155 222186 253370 370310 380055 481403 555465 760110 962806 1110930 1444209 2407015 2888418 4814030 7221045 14442090