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21358944 = 253359419
BaseRepresentation
bin101000101111…
…0100101100000
31111012010222000
41101132211200
520431441234
62041444000
7346355655
oct121364540
944163860
1021358944
1111069322
1271a0600
13456ab39
142b9dc2c
151d1d899
hex145e960

21358944 has 96 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 6982272.

The previous prime is 21358933. The next prime is 21358949. The reversal of 21358944 is 44985312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21358899 and 21358908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21358949) 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 15 ways as a sum of consecutive naturals, for example, 50767 + ... + 51185.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 221358944 is an apocalyptic number.

21358944 is a gapful number since it is divisible by the number (24) 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 21358944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

21358944 is an abundant number, since it is smaller than the sum of its proper divisors (42145056).

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

21358944 is a wasteful number, since it uses less digits than its factorization.

21358944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 21358944 is about 4621.5737579314. The cubic root of 21358944 is about 277.4554493857.

The spelling of 21358944 in words is "twenty-one million, three hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 419 432 472 531 708 838 864 944 1062 1257 1416 1593 1676 1888 2124 2514 2832 3186 3352 3771 4248 5028 5664 6372 6704 7542 8496 10056 11313 12744 13408 15084 16992 20112 22626 24721 25488 30168 40224 45252 49442 50976 60336 74163 90504 98884 120672 148326 181008 197768 222489 296652 362016 395536 444978 593304 667467 791072 889956 1186608 1334934 1779912 2373216 2669868 3559824 5339736 7119648 10679472 21358944