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14169820 = 2257219761
BaseRepresentation
bin110110000011…
…011011011100
3222122220100011
4312003123130
512111413240
61223413004
7231304300
oct66033334
928586304
1014169820
117aa8aa5
1248b4164
132c21812
141c4bd00
15139d6ea
hexd836dc

14169820 has 72 divisors (see below), whose sum is σ = 36484560. Its totient is φ = 4596480.

The previous prime is 14169809. The next prime is 14169847. The reversal of 14169820 is 2896141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18240 + ... + 19000.

It is an arithmetic number, because the mean of its divisors is an integer number (506730).

Almost surely, 214169820 is an apocalyptic number.

14169820 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 14169820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242280).

14169820 is an abundant number, since it is smaller than the sum of its proper divisors (22314740).

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

14169820 is a wasteful number, since it uses less digits than its factorization.

14169820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 14169820 is about 3764.2821360785. The cubic root of 14169820 is about 241.9848133812.

It can be divided in two parts, 1416 and 9820, that added together give a square (11236 = 1062).

The spelling of 14169820 in words is "fourteen million, one hundred sixty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 761 931 980 1330 1522 1862 2660 3044 3724 3805 4655 5327 7610 9310 10654 14459 15220 18620 21308 26635 28918 37289 53270 57836 72295 74578 101213 106540 144590 149156 186445 202426 289180 372890 404852 506065 708491 745780 1012130 1416982 2024260 2833964 3542455 7084910 14169820