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14208840 = 23325291361
BaseRepresentation
bin110110001100…
…111101001000
3222201212212100
4312030331020
512114140330
61224313400
7231526122
oct66147510
928655770
1014208840
118025348
124912860
132c364c9
141c5c212
1513aa060
hexd8cf48

14208840 has 96 divisors (see below), whose sum is σ = 47806200. Its totient is φ = 3655680.

The previous prime is 14208839. The next prime is 14208847. The reversal of 14208840 is 4880241.

14208840 is digitally balanced in base 2, because in such base 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 9253764 + 4955076 = 3042^2 + 2226^2 .

It is a super-2 number, since 2×142088402 = 403782268291200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14208847) 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, 9760 + ... + 11120.

Almost surely, 214208840 is an apocalyptic number.

14208840 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 14208840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23903100).

14208840 is an abundant number, since it is smaller than the sum of its proper divisors (33597360).

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

14208840 is a wasteful number, since it uses less digits than its factorization.

14208840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 14208840 is about 3769.4615000024. The cubic root of 14208840 is about 242.2067308906.

The spelling of 14208840 in words is "fourteen million, two hundred eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1361 1740 2088 2610 2722 3480 4083 5220 5444 6805 8166 10440 10888 12249 13610 16332 20415 24498 27220 32664 39469 40830 48996 54440 61245 78938 81660 97992 118407 122490 157876 163320 197345 236814 244980 315752 355221 394690 473628 489960 592035 710442 789380 947256 1184070 1420884 1578760 1776105 2368140 2841768 3552210 4736280 7104420 14208840