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21713280 = 273543263
BaseRepresentation
bin101001011010…
…1000110000000
31111212011000120
41102311012000
521024311110
62053220240
7352363011
oct122650600
944764016
1021713280
1111290566
127331680
1346631c4
142c53008
151d8d870
hex14b5180

21713280 has 128 divisors (see below), whose sum is σ = 71089920. Its totient is φ = 5634048.

The previous prime is 21713273. The next prime is 21713281. The reversal of 21713280 is 8231712.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 21713280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21713281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82429 + ... + 82691.

It is an arithmetic number, because the mean of its divisors is an integer number (555390).

Almost surely, 221713280 is an apocalyptic number.

21713280 is a gapful number since it is divisible by the number (20) 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 21713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35544960).

21713280 is an abundant number, since it is smaller than the sum of its proper divisors (49376640).

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

21713280 is a wasteful number, since it uses less digits than its factorization.

21713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 21713280 is about 4659.7510663124. The cubic root of 21713280 is about 278.9813324954.

Adding to 21713280 its reverse (8231712), we get a palindrome (29944992).

The spelling of 21713280 in words is "twenty-one million, seven hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 258 263 320 344 384 430 480 516 526 640 645 688 789 860 960 1032 1052 1290 1315 1376 1578 1720 1920 2064 2104 2580 2630 2752 3156 3440 3945 4128 4208 5160 5260 5504 6312 6880 7890 8256 8416 10320 10520 11309 12624 13760 15780 16512 16832 20640 21040 22618 25248 27520 31560 33664 33927 41280 42080 45236 50496 56545 63120 67854 82560 84160 90472 100992 113090 126240 135708 168320 169635 180944 226180 252480 271416 339270 361888 452360 504960 542832 678540 723776 904720 1085664 1357080 1447552 1809440 2171328 2714160 3618880 4342656 5428320 7237760 10856640 21713280