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21027840 = 21035372
BaseRepresentation
bin101000000110…
…1110000000000
31110120022202220
41100031300000
520340342330
62030411040
7343506441
oct120156000
943508686
1021027840
1110962589
127060a80
134483212
142b152c8
151ca5710
hex140dc00

21027840 has 132 divisors (see below), whose sum is σ = 69123096. Its totient is φ = 5455872.

The previous prime is 21027833. The next prime is 21027841. The reversal of 21027840 is 4872012.

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 21027840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21027841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568302 + ... + 568338.

Almost surely, 221027840 is an apocalyptic number.

21027840 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 21027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34561548).

21027840 is an abundant number, since it is smaller than the sum of its proper divisors (48095256).

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

21027840 is an equidigital number, since it uses as much as digits as its factorization.

21027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 21027840 is about 4585.6122819096. The cubic root of 21027840 is about 276.0142819747.

Adding to 21027840 its reverse (4872012), we get a palindrome (25899852).

The spelling of 21027840 in words is "twenty-one million, twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 512 555 592 640 740 768 888 960 1024 1110 1184 1280 1369 1480 1536 1776 1920 2220 2368 2560 2738 2960 3072 3552 3840 4107 4440 4736 5120 5476 5920 6845 7104 7680 8214 8880 9472 10952 11840 13690 14208 15360 16428 17760 18944 20535 21904 23680 27380 28416 32856 35520 37888 41070 43808 47360 54760 56832 65712 71040 82140 87616 94720 109520 113664 131424 142080 164280 175232 189440 219040 262848 284160 328560 350464 438080 525696 568320 657120 700928 876160 1051392 1314240 1401856 1752320 2102784 2628480 3504640 4205568 5256960 7009280 10513920 21027840