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14286720 = 273571063
BaseRepresentation
bin110110011111…
…111110000000
3222212211200210
4312133332000
512124133340
61230114120
7232302150
oct66377600
928784623
1014286720
118078908
12494b940
132c62aa6
141c7c760
1513c3180
hexd9ff80

14286720 has 128 divisors (see below), whose sum is σ = 52093440. Its totient is φ = 3262464.

The previous prime is 14286677. The next prime is 14286743. The reversal of 14286720 is 2768241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×142867202 = 408220736716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 12909 + ... + 13971.

It is an arithmetic number, because the mean of its divisors is an integer number (406980).

Almost surely, 214286720 is an apocalyptic number.

14286720 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 14286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26046720).

14286720 is an abundant number, since it is smaller than the sum of its proper divisors (37806720).

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

14286720 is a wasteful number, since it uses less digits than its factorization.

14286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 14286720 is about 3779.7777712453. Note that the first 5 decimals coincide. The cubic root of 14286720 is about 242.6484442032.

The spelling of 14286720 in words is "fourteen million, two hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1063 1120 1344 1680 1920 2126 2240 2688 3189 3360 4252 4480 5315 6378 6720 7441 8504 10630 12756 13440 14882 15945 17008 21260 22323 25512 29764 31890 34016 37205 42520 44646 51024 59528 63780 68032 74410 85040 89292 102048 111615 119056 127560 136064 148820 170080 178584 204096 223230 238112 255120 297640 340160 357168 408192 446460 476224 510240 595280 680320 714336 892920 952448 1020480 1190560 1428672 1785840 2040960 2381120 2857344 3571680 4762240 7143360 14286720