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21108416 = 267253127
BaseRepresentation
bin101000010000…
…1011011000000
31110201102022012
41100201123000
520400432131
62032232052
7344263400
oct120413300
943642265
1021108416
1110a0807a
12709b628
1344b0ab4
142b36800
151cbe52b
hex14216c0

21108416 has 84 divisors (see below), whose sum is σ = 50035968. Its totient is φ = 8805888.

The previous prime is 21108413. The next prime is 21108419. The reversal of 21108416 is 61480112.

It is an interprime number because it is at equal distance from previous prime (21108413) and next prime (21108419).

It is a junction number, because it is equal to n+sod(n) for n = 21108391 and 21108400.

It is not an unprimeable number, because it can be changed into a prime (21108413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166145 + ... + 166271.

Almost surely, 221108416 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 21108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25017984).

21108416 is an abundant number, since it is smaller than the sum of its proper divisors (28927552).

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

21108416 is a wasteful number, since it uses less digits than its factorization.

21108416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 21108416 is about 4594.3896221370. The cubic root of 21108416 is about 276.3663831256.

Adding to 21108416 its reverse (61480112), we get a palindrome (82588528).

The spelling of 21108416 in words is "twenty-one million, one hundred eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 127 196 212 224 254 371 392 424 448 508 742 784 848 889 1016 1484 1568 1696 1778 2032 2597 2968 3136 3392 3556 4064 5194 5936 6223 6731 7112 8128 10388 11872 12446 13462 14224 20776 23744 24892 26924 28448 41552 47117 49784 53848 56896 83104 94234 99568 107696 166208 188468 199136 215392 329819 376936 398272 430784 659638 753872 1319276 1507744 2638552 3015488 5277104 10554208 21108416