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14282520 = 233573347
BaseRepresentation
bin110110011110…
…111100011000
3222212121221020
4312132330120
512124020040
61230042440
7232254000
oct66367430
928777836
1014282520
11807573a
124949420
132c60bc5
141c7b000
1513c1cd0
hexd9ef18

14282520 has 128 divisors (see below), whose sum is σ = 50112000. Its totient is φ = 3255168.

The previous prime is 14282519. The next prime is 14282531. The reversal of 14282520 is 2528241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40987 + ... + 41333.

It is an arithmetic number, because the mean of its divisors is an integer number (391500).

Almost surely, 214282520 is an apocalyptic number.

14282520 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 14282520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25056000).

14282520 is an abundant number, since it is smaller than the sum of its proper divisors (35829480).

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

14282520 is a wasteful number, since it uses less digits than its factorization.

14282520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 14282520 is about 3779.2221421875. Note that the first 3 decimals coincide. The cubic root of 14282520 is about 242.6246639992.

It can be divided in two parts, 142825 and 20, that added together give a triangular number (142845 = T534).

The spelling of 14282520 in words is "fourteen million, two hundred eighty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 347 392 420 490 588 686 694 735 840 980 1029 1041 1176 1372 1388 1470 1715 1735 1960 2058 2082 2429 2744 2776 2940 3430 3470 4116 4164 4858 5145 5205 5880 6860 6940 7287 8232 8328 9716 10290 10410 12145 13720 13880 14574 17003 19432 20580 20820 24290 29148 34006 36435 41160 41640 48580 51009 58296 68012 72870 85015 97160 102018 119021 136024 145740 170030 204036 238042 255045 291480 340060 357063 408072 476084 510090 595105 680120 714126 952168 1020180 1190210 1428252 1785315 2040360 2380420 2856504 3570630 4760840 7141260 14282520