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21361320 = 2334519347
BaseRepresentation
bin101000101111…
…1001010101000
31111012021020000
41101133022220
520432030240
62041503000
7346365621
oct121371250
944167200
1021361320
1111070092
1271a1a60
13456bc46
142ba0a48
151d1e430
hex145f2a8

21361320 has 160 divisors (see below), whose sum is σ = 75794400. Its totient is φ = 5380992.

The previous prime is 21361303. The next prime is 21361391. The reversal of 21361320 is 2316312.

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

It is a junction number, because it is equal to n+sod(n) for n = 21361293 and 21361302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61387 + ... + 61733.

It is an arithmetic number, because the mean of its divisors is an integer number (473715).

Almost surely, 221361320 is an apocalyptic number.

21361320 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 21361320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37897200).

21361320 is an abundant number, since it is smaller than the sum of its proper divisors (54433080).

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

21361320 is a wasteful number, since it uses less digits than its factorization.

21361320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 21361320 is about 4621.8308060767. The cubic root of 21361320 is about 277.4657371869.

Adding to 21361320 its reverse (2316312), we get a palindrome (23677632).

The spelling of 21361320 in words is "twenty-one million, three hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 347 360 380 405 456 513 540 570 648 684 694 760 810 855 1026 1041 1080 1140 1368 1388 1539 1620 1710 1735 2052 2082 2280 2565 2776 3078 3123 3240 3420 3470 4104 4164 5130 5205 6156 6246 6593 6840 6940 7695 8328 9369 10260 10410 12312 12492 13186 13880 15390 15615 18738 19779 20520 20820 24984 26372 28107 30780 31230 32965 37476 39558 41640 46845 52744 56214 59337 61560 62460 65930 74952 79116 93690 98895 112428 118674 124920 131860 140535 158232 178011 187380 197790 224856 237348 263720 281070 296685 356022 374760 395580 474696 534033 562140 593370 712044 791160 890055 1068066 1124280 1186740 1424088 1780110 2136132 2373480 2670165 3560220 4272264 5340330 7120440 10680660 21361320