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14119920 = 243452179
BaseRepresentation
bin110101110111…
…001111110000
3222120100220000
4311313033300
512103314140
61222350000
7231005643
oct65671760
928510800
1014119920
117a74561
12488b300
132c04ba9
141c37a5a
15138da30
hexd773f0

14119920 has 100 divisors (see below), whose sum is σ = 49063080. Its totient is φ = 3763584.

The previous prime is 14119891. The next prime is 14119921. The reversal of 14119920 is 2991141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14119921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5391 + ... + 7569.

Almost surely, 214119920 is an apocalyptic number.

14119920 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 14119920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24531540).

14119920 is an abundant number, since it is smaller than the sum of its proper divisors (34943160).

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

14119920 is a wasteful number, since it uses less digits than its factorization.

14119920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 14119920 is about 3757.6482006702. The cubic root of 14119920 is about 241.7004238747.

The spelling of 14119920 in words is "fourteen million, one hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 2179 3240 4358 6480 6537 8716 10895 13074 17432 19611 21790 26148 32685 34864 39222 43580 52296 58833 65370 78444 87160 98055 104592 117666 130740 156888 174320 176499 196110 235332 261480 294165 313776 352998 392220 470664 522960 588330 705996 784440 882495 941328 1176660 1411992 1568880 1764990 2353320 2823984 3529980 4706640 7059960 14119920