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14430120 = 2335196329
BaseRepresentation
bin110111000010…
…111110101000
31000011010101220
4313002332220
512143230440
61233142040
7233440215
oct67027650
930133356
1014430120
118166621
1249ba920
132cb3143
141cb8b0c
1514008d0
hexdc2fa8

14430120 has 64 divisors (see below), whose sum is σ = 45576000. Its totient is φ = 3644928.

The previous prime is 14430113. The next prime is 14430149. The reversal of 14430120 is 2103441.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14430120.

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 15 ways as a sum of consecutive naturals, for example, 885 + ... + 5444.

It is an arithmetic number, because the mean of its divisors is an integer number (712125).

Almost surely, 214430120 is an apocalyptic number.

14430120 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 14430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22788000).

14430120 is an abundant number, since it is smaller than the sum of its proper divisors (31145880).

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

14430120 is a wasteful number, since it uses less digits than its factorization.

14430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14430120 is about 3798.6997775555. The cubic root of 14430120 is about 243.4575875489.

Adding to 14430120 its reverse (2103441), we get a palindrome (16533561).

The spelling of 14430120 in words is "fourteen million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 6329 12658 18987 25316 31645 37974 50632 63290 75948 94935 120251 126580 151896 189870 240502 253160 360753 379740 481004 601255 721506 759480 962008 1202510 1443012 1803765 2405020 2886024 3607530 4810040 7215060 14430120