Search a number
-
+
14370120 = 23325179223
BaseRepresentation
bin110110110100…
…010101001000
31000001002002200
4312310111020
512134320440
61232000200
7233100252
oct66642510
930032080
1014370120
118125536
124990060
132c91a3b
141ca0cd2
1513dcc30
hexdb4548

14370120 has 96 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 3793536.

The previous prime is 14370119. The next prime is 14370149. The reversal of 14370120 is 2107341.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14370093 and 14370102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64329 + ... + 64551.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 214370120 is an apocalyptic number.

14370120 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 14370120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

14370120 is an abundant number, since it is smaller than the sum of its proper divisors (32804280).

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

14370120 is a wasteful number, since it uses less digits than its factorization.

14370120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 14370120 is about 3790.7941120562. The cubic root of 14370120 is about 243.1196890437.

Adding to 14370120 its reverse (2107341), we get a palindrome (16477461).

The spelling of 14370120 in words is "fourteen million, three hundred seventy thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 179 180 223 358 360 446 537 669 716 892 895 1074 1115 1338 1432 1611 1784 1790 2007 2148 2230 2676 2685 3222 3345 3580 4014 4296 4460 5352 5370 6444 6690 7160 8028 8055 8920 10035 10740 12888 13380 16056 16110 20070 21480 26760 32220 39917 40140 64440 79834 80280 119751 159668 199585 239502 319336 359253 399170 479004 598755 718506 798340 958008 1197510 1437012 1596680 1796265 2395020 2874024 3592530 4790040 7185060 14370120