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14209920 = 273252467
BaseRepresentation
bin110110001101…
…001110000000
3222201221100100
4312031032000
512114204140
61224322400
7231532224
oct66151600
928657310
1014209920
11802613a
124913400
132c36b4a
141c5c784
1513aa530
hexd8d380

14209920 has 96 divisors (see below), whose sum is σ = 49088520. Its totient is φ = 3787776.

The previous prime is 14209919. The next prime is 14209927. The reversal of 14209920 is 2990241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14209927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4527 + ... + 6993.

Almost surely, 214209920 is an apocalyptic number.

14209920 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 14209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24544260).

14209920 is an abundant number, since it is smaller than the sum of its proper divisors (34878600).

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

14209920 is a wasteful number, since it uses less digits than its factorization.

14209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 14209920 is about 3769.6047538170. The cubic root of 14209920 is about 242.2128673671.

It can be divided in two parts, 14209 and 920, that added together give a square (15129 = 1232).

The spelling of 14209920 in words is "fourteen million, two hundred nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2467 2880 4934 5760 7401 9868 12335 14802 19736 22203 24670 29604 37005 39472 44406 49340 59208 74010 78944 88812 98680 111015 118416 148020 157888 177624 197360 222030 236832 296040 315776 355248 394720 444060 473664 592080 710496 789440 888120 947328 1184160 1420992 1578880 1776240 2368320 2841984 3552480 4736640 7104960 14209920