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21938112 = 263275441
BaseRepresentation
bin101001110101…
…1111111000000
31112021120102200
41103223333000
521104004422
62102113200
7354320340
oct123537700
945246380
1021938112
1111424479
12741b800
134711641
142cb0d20
151dd52ac
hex14ebfc0

21938112 has 84 divisors (see below), whose sum is σ = 71877936. Its totient is φ = 6266880.

The previous prime is 21938099. The next prime is 21938129. The reversal of 21938112 is 21183912.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1312 + ... + 6752.

Almost surely, 221938112 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 21938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35938968).

21938112 is an abundant number, since it is smaller than the sum of its proper divisors (49939824).

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

21938112 is a wasteful number, since it uses less digits than its factorization.

21938112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5466 (or 5453 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 21938112 is about 4683.8138306299. The cubic root of 21938112 is about 279.9409399244.

The spelling of 21938112 in words is "twenty-one million, nine hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 5441 10882 16323 21764 32646 38087 43528 48969 65292 76174 87056 97938 114261 130584 152348 174112 195876 228522 261168 304696 342783 348224 391752 457044 522336 609392 685566 783504 914088 1044672 1218784 1371132 1567008 1828176 2437568 2742264 3134016 3656352 5484528 7312704 10969056 21938112