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14330120 = 235761839
BaseRepresentation
bin110110101010…
…100100001000
3222222001020012
4312222210020
512132030440
61231051052
7232542530
oct66524410
928861205
1014330120
1180a8482
124970a88
132c7977c
141c904c0
1513d0e65
hexdaa908

14330120 has 64 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4826880.

The previous prime is 14330117. The next prime is 14330131. The reversal of 14330120 is 2103341.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 14330095 and 14330104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16661 + ... + 17499.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 214330120 is an apocalyptic number.

14330120 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 14330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

14330120 is an abundant number, since it is smaller than the sum of its proper divisors (23167480).

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

14330120 is a wasteful number, since it uses less digits than its factorization.

14330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 14330120 is about 3785.5144960758. The cubic root of 14330120 is about 242.8939005163.

Adding to 14330120 its reverse (2103341), we get a palindrome (16433461).

The spelling of 14330120 in words is "fourteen million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 839 854 1220 1678 1708 2135 2440 3356 3416 4195 4270 5873 6712 8390 8540 11746 16780 17080 23492 29365 33560 46984 51179 58730 102358 117460 204716 234920 255895 358253 409432 511790 716506 1023580 1433012 1791265 2047160 2866024 3582530 7165060 14330120