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14208660 = 22325193409
BaseRepresentation
bin110110001100…
…111010010100
3222201212121200
4312030322110
512114134120
61224312500
7231525444
oct66147224
928655550
1014208660
1180251a4
124912730
132c363bb
141c5c124
1513a9e90
hexd8ce94

14208660 has 72 divisors (see below), whose sum is σ = 43428840. Its totient is φ = 3760128.

The previous prime is 14208613. The next prime is 14208661. The reversal of 14208660 is 6680241.

14208660 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2471184 + 11737476 = 1572^2 + 3426^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14208661) 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, 34536 + ... + 34944.

Almost surely, 214208660 is an apocalyptic number.

14208660 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 14208660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21714420).

14208660 is an abundant number, since it is smaller than the sum of its proper divisors (29220180).

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

14208660 is a wasteful number, since it uses less digits than its factorization.

14208660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14208660 is about 3769.4376238373. The cubic root of 14208660 is about 242.2057081142.

The spelling of 14208660 in words is "fourteen million, two hundred eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 386 409 579 772 818 965 1158 1227 1636 1737 1930 2045 2316 2454 2895 3474 3681 3860 4090 4908 5790 6135 6948 7362 8180 8685 11580 12270 14724 17370 18405 24540 34740 36810 73620 78937 157874 236811 315748 394685 473622 710433 789370 947244 1184055 1420866 1578740 2368110 2841732 3552165 4736220 7104330 14208660