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21682314 = 2322973569
BaseRepresentation
bin101001010110…
…1100010001010
31111210120112200
41102231202022
521022313224
62052421030
7352203513
oct122554212
944716480
1021682314
111126a275
127317776
134652094
142c45a0a
151d845c9
hex14ad88a

21682314 has 48 divisors (see below), whose sum is σ = 49350600. Its totient is φ = 6870528.

The previous prime is 21682303. The next prime is 21682321. The reversal of 21682314 is 41328612.

It can be written as a sum of positive squares in 4 ways, for example, as 16136289 + 5546025 = 4017^2 + 2355^2 .

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 23 ways as a sum of consecutive naturals, for example, 37822 + ... + 38390.

Almost surely, 221682314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21682314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675300).

21682314 is an abundant number, since it is smaller than the sum of its proper divisors (27668286).

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

21682314 is a wasteful number, since it uses less digits than its factorization.

21682314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 676 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 21682314 is about 4656.4271711259. The cubic root of 21682314 is about 278.8486480131.

The spelling of 21682314 in words is "twenty-one million, six hundred eighty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 73 87 146 174 219 261 438 522 569 657 1138 1314 1707 2117 3414 4234 5121 6351 10242 12702 16501 19053 33002 38106 41537 49503 83074 99006 124611 148509 249222 297018 373833 747666 1204573 2409146 3613719 7227438 10841157 21682314