Search a number
-
+
21442560 = 21235349
BaseRepresentation
bin101000111001…
…1000000000000
31111100101122220
41101303000000
520442130220
62043331040
7350154516
oct121630000
944311586
1021442560
1111116127
127220a80
134599c09
142bc24b6
151d38540
hex1473000

21442560 has 104 divisors (see below), whose sum is σ = 68804400. Its totient is φ = 5701632.

The previous prime is 21442543. The next prime is 21442591. The reversal of 21442560 is 6524412.

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 21442560.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 61266 + ... + 61614.

Almost surely, 221442560 is an apocalyptic number.

21442560 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 21442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34402200).

21442560 is an abundant number, since it is smaller than the sum of its proper divisors (47361840).

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

21442560 is an equidigital number, since it uses as much as digits as its factorization.

21442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 21442560 is about 4630.6111907609. The cubic root of 21442560 is about 277.8170388358.

Adding to 21442560 its reverse (6524412), we get a palindrome (27966972).

The spelling of 21442560 in words is "twenty-one million, four hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 349 384 480 512 640 698 768 960 1024 1047 1280 1396 1536 1745 1920 2048 2094 2560 2792 3072 3490 3840 4096 4188 5120 5235 5584 6144 6980 7680 8376 10240 10470 11168 12288 13960 15360 16752 20480 20940 22336 27920 30720 33504 41880 44672 55840 61440 67008 83760 89344 111680 134016 167520 178688 223360 268032 335040 357376 446720 536064 670080 714752 893440 1072128 1340160 1429504 1786880 2144256 2680320 3573760 4288512 5360640 7147520 10721280 21442560