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21442980 = 22351337743
BaseRepresentation
bin101000111001…
…1000110100100
31111100102020110
41101303012210
520442133410
62043333020
7350155656
oct121630644
944312213
1021442980
1111116479
127221170
13459a170
142bc26d6
151d38720
hex14731a4

21442980 has 96 divisors (see below), whose sum is σ = 66495744. Its totient is φ = 5128704.

The previous prime is 21442957. The next prime is 21442987. The reversal of 21442980 is 8924412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21442987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28489 + ... + 29231.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 221442980 is an apocalyptic number.

21442980 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 21442980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33247872).

21442980 is an abundant number, since it is smaller than the sum of its proper divisors (45052764).

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

21442980 is a wasteful number, since it uses less digits than its factorization.

21442980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 21442980 is about 4630.6565409238. The cubic root of 21442980 is about 277.8188527111.

It can be divided in two parts, 21442 and 980, that added together give a palindrome (22422).

The spelling of 21442980 in words is "twenty-one million, four hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 743 780 962 1110 1443 1486 1924 2220 2229 2405 2886 2972 3715 4458 4810 5772 7215 7430 8916 9620 9659 11145 14430 14860 19318 22290 27491 28860 28977 38636 44580 48295 54982 57954 82473 96590 109964 115908 137455 144885 164946 193180 274910 289770 329892 357383 412365 549820 579540 714766 824730 1072149 1429532 1649460 1786915 2144298 3573830 4288596 5360745 7147660 10721490 21442980