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21343140 = 223257131303
BaseRepresentation
bin101000101101…
…0101110100100
31111011100021200
41101122232210
520430440030
62041242500
7346261620
oct121325644
944140250
1021343140
1111058465
127193430
1345638a0
142b98180
151d18d60
hex145aba4

21343140 has 144 divisors (see below), whose sum is σ = 79742208. Its totient is φ = 4499712.

The previous prime is 21343139. The next prime is 21343141. The reversal of 21343140 is 4134312.

It is an interprime number because it is at equal distance from previous prime (21343139) and next prime (21343141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21343141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15729 + ... + 17031.

Almost surely, 221343140 is an apocalyptic number.

21343140 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 21343140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39871104).

21343140 is an abundant number, since it is smaller than the sum of its proper divisors (58399068).

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

21343140 is a wasteful number, since it uses less digits than its factorization.

21343140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21343140 is about 4619.8636343511. The cubic root of 21343140 is about 277.3870004982.

Adding to 21343140 its reverse (4134312), we get a palindrome (25477452).

The spelling of 21343140 in words is "twenty-one million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1303 1365 1638 1820 2340 2606 2730 3276 3909 4095 5212 5460 6515 7818 8190 9121 11727 13030 15636 16380 16939 18242 19545 23454 26060 27363 33878 36484 39090 45605 46908 50817 54726 58635 67756 78180 82089 84695 91210 101634 109452 117270 118573 136815 152451 164178 169390 182420 203268 234540 237146 254085 273630 304902 328356 338780 355719 410445 474292 508170 547260 592865 609804 711438 762255 820890 1016340 1067157 1185730 1422876 1524510 1641780 1778595 2134314 2371460 3049020 3557190 4268628 5335785 7114380 10671570 21343140