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21682971 = 341973193
BaseRepresentation
bin101001010110…
…1101100011011
31111210121110000
41102231230123
521022323341
62052424043
7352205442
oct122555433
944717400
1021682971
111126a812
127318023
13465247b
142c45d59
151d848b6
hex14adb1b

21682971 has 40 divisors (see below), whose sum is σ = 34741520. Its totient is φ = 13436928.

The previous prime is 21682967. The next prime is 21682979. The reversal of 21682971 is 17928612.

It is not a de Polignac number, because 21682971 - 22 = 21682967 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

Its product of digits (12096) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (21682979) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112251 + ... + 112443.

It is an arithmetic number, because the mean of its divisors is an integer number (868538).

Almost surely, 221682971 is an apocalyptic number.

21682971 is a deficient number, since it is larger than the sum of its proper divisors (13058549).

21682971 is a wasteful number, since it uses less digits than its factorization.

21682971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 21682971 is about 4656.4977182428. The cubic root of 21682971 is about 278.8514644669.

The spelling of 21682971 in words is "twenty-one million, six hundred eighty-two thousand, nine hundred seventy-one".

Divisors: 1 3 9 19 27 57 73 81 171 193 219 513 579 657 1387 1539 1737 1971 3667 4161 5211 5913 11001 12483 14089 15633 33003 37449 42267 99009 112347 126801 267691 297027 380403 803073 1141209 2409219 7227657 21682971