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21106316 = 227111729139
BaseRepresentation
bin101000010000…
…0111010001100
31110201022102102
41100200322030
520400400231
62032214232
7344254310
oct120407214
943638372
1021106316
1110a06540
12709a378
1344acb5a
142b35b40
151cbdacb
hex1420e8c

21106316 has 96 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 7418880.

The previous prime is 21106313. The next prime is 21106331. The reversal of 21106316 is 61360112.

It is not an unprimeable number, because it can be changed into a prime (21106313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151775 + ... + 151913.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 221106316 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 21106316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

21106316 is an abundant number, since it is smaller than the sum of its proper divisors (29696884).

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

21106316 is a wasteful number, since it uses less digits than its factorization.

21106316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 21106316 is about 4594.1610768453. The cubic root of 21106316 is about 276.3572179242.

Adding to 21106316 its reverse (61360112), we get a palindrome (82466428).

The spelling of 21106316 in words is "twenty-one million, one hundred six thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 17 22 28 29 34 44 58 68 77 116 119 139 154 187 203 238 278 308 319 374 406 476 493 556 638 748 812 973 986 1276 1309 1529 1946 1972 2233 2363 2618 3058 3451 3892 4031 4466 4726 5236 5423 6116 6902 8062 8932 9452 10703 10846 13804 16124 16541 21406 21692 25993 28217 33082 37961 42812 44341 51986 56434 66164 68527 75922 88682 103972 112868 137054 151844 177364 181951 274108 310387 363902 479689 620774 727804 753797 959378 1241548 1507594 1918756 3015188 5276579 10553158 21106316