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21442890 = 2357229503
BaseRepresentation
bin101000111001…
…1000101001010
31111100102010010
41101303011022
520442133030
62043332350
7350155500
oct121630512
944312103
1021442890
11111163a7
1272210b6
13459a101
142bc2670
151d386b0
hex147314a

21442890 has 96 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 4722816.

The previous prime is 21442871. The next prime is 21442913. The reversal of 21442890 is 9824412.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 42379 + ... + 42881.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 221442890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21442890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

21442890 is an abundant number, since it is smaller than the sum of its proper divisors (40609590).

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

21442890 is a wasteful number, since it uses less digits than its factorization.

21442890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 549 counting only the distinct ones).

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

The square root of 21442890 is about 4630.6468230691. The cubic root of 21442890 is about 277.8184640256.

The spelling of 21442890 in words is "twenty-one million, four hundred forty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 49 58 70 87 98 105 145 147 174 203 210 245 290 294 406 435 490 503 609 735 870 1006 1015 1218 1421 1470 1509 2030 2515 2842 3018 3045 3521 4263 5030 6090 7042 7105 7545 8526 10563 14210 14587 15090 17605 21126 21315 24647 29174 35210 42630 43761 49294 52815 72935 73941 87522 102109 105630 123235 145870 147882 204218 218805 246470 306327 369705 437610 510545 612654 714763 739410 1021090 1429526 1531635 2144289 3063270 3573815 4288578 7147630 10721445 21442890