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21187320 = 23357112293
BaseRepresentation
bin101000011010…
…0101011111000
31110212102112120
41100310223320
520410443240
62034041240
7345042420
oct120645370
943772476
1021187320
1110a61390
127119220
13450a99b
142b57480
151cd7ad0
hex1434af8

21187320 has 128 divisors (see below), whose sum is σ = 79280640. Its totient is φ = 4400640.

The previous prime is 21187319. The next prime is 21187339. The reversal of 21187320 is 2378112.

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, 8094 + ... + 10386.

It is an arithmetic number, because the mean of its divisors is an integer number (619380).

Almost surely, 221187320 is an apocalyptic number.

21187320 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 21187320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39640320).

21187320 is an abundant number, since it is smaller than the sum of its proper divisors (58093320).

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

21187320 is a wasteful number, since it uses less digits than its factorization.

21187320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2321 counting only the distinct ones).

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

The square root of 21187320 is about 4602.9686073229. The cubic root of 21187320 is about 276.7103106903.

The spelling of 21187320 in words is "twenty-one million, one hundred eighty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2293 2310 3080 4586 4620 6879 9172 9240 11465 13758 16051 18344 22930 25223 27516 32102 34395 45860 48153 50446 55032 64204 68790 75669 80255 91720 96306 100892 126115 128408 137580 151338 160510 176561 192612 201784 240765 252230 275160 302676 321020 353122 378345 385224 481530 504460 529683 605352 642040 706244 756690 882805 963060 1008920 1059366 1412488 1513380 1765610 1926120 2118732 2648415 3026760 3531220 4237464 5296830 7062440 10593660 21187320