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21321728 = 21129359
BaseRepresentation
bin101000101010…
…1100000000000
31111010020220122
41101111200000
520424243403
62040555412
7346142321
oct121254000
944106818
1021321728
111104336a
127182b68
134556c0c
142b90448
151d12838
hex1455800

21321728 has 48 divisors (see below), whose sum is σ = 44226000. Its totient is φ = 10264576.

The previous prime is 21321709. The next prime is 21321733. The reversal of 21321728 is 82712312.

It is a junction number, because it is equal to n+sod(n) for n = 21321697 and 21321706.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 59213 + ... + 59571.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 221321728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22113000).

21321728 is an abundant number, since it is smaller than the sum of its proper divisors (22904272).

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

21321728 is an equidigital number, since it uses as much as digits as its factorization.

21321728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 390 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 21321728 is about 4617.5456684260. The cubic root of 21321728 is about 277.2942088135.

The spelling of 21321728 in words is "twenty-one million, three hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 359 464 512 718 928 1024 1436 1856 2048 2872 3712 5744 7424 10411 11488 14848 20822 22976 29696 41644 45952 59392 83288 91904 166576 183808 333152 367616 666304 735232 1332608 2665216 5330432 10660864 21321728