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14208120 = 2332561647
BaseRepresentation
bin110110001100…
…110001111000
3222201211212200
4312030301320
512114124440
61224310200
7231524043
oct66146170
928654780
1014208120
118024853
124912360
132c36094
141c5bc5a
1513a9c30
hexd8cc78

14208120 has 96 divisors (see below), whose sum is σ = 47005920. Its totient is φ = 3720960.

The previous prime is 14208113. The next prime is 14208121. The reversal of 14208120 is 2180241.

14208120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 14208093 and 14208102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14208121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21637 + ... + 22283.

It is an arithmetic number, because the mean of its divisors is an integer number (489645).

Almost surely, 214208120 is an apocalyptic number.

14208120 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 14208120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23502960).

14208120 is an abundant number, since it is smaller than the sum of its proper divisors (32797800).

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

14208120 is a wasteful number, since it uses less digits than its factorization.

14208120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14208120 is about 3769.3659944346. The cubic root of 14208120 is about 242.2026397334.

Adding to 14208120 its reverse (2180241), we get a palindrome (16388361).

The spelling of 14208120 in words is "fourteen million, two hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 647 732 915 1098 1220 1294 1464 1830 1941 2196 2440 2588 2745 3235 3660 3882 4392 5176 5490 5823 6470 7320 7764 9705 10980 11646 12940 15528 19410 21960 23292 25880 29115 38820 39467 46584 58230 77640 78934 116460 118401 157868 197335 232920 236802 315736 355203 394670 473604 592005 710406 789340 947208 1184010 1420812 1578680 1776015 2368020 2841624 3552030 4736040 7104060 14208120