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21111424 = 272371101
BaseRepresentation
bin101000010001…
…0001010000000
31110201120102121
41100202022000
520401031144
62032254024
7344305225
oct120421200
943646377
1021111424
1110a0a364
1270a1314
1344b2289
142b3794c
151cc0384
hex1422280

21111424 has 64 divisors (see below), whose sum is σ = 44945280. Its totient is φ = 9856000.

The previous prime is 21111397. The next prime is 21111457. The reversal of 21111424 is 42411112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21111398 and 21111407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208974 + ... + 209074.

It is an arithmetic number, because the mean of its divisors is an integer number (702270).

Almost surely, 221111424 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 21111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22472640).

21111424 is an abundant number, since it is smaller than the sum of its proper divisors (23833856).

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

21111424 is a wasteful number, since it uses less digits than its factorization.

21111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 21111424 is about 4594.7169662559. The cubic root of 21111424 is about 276.3795101266.

Adding to 21111424 its reverse (42411112), we get a palindrome (63522536).

The spelling of 21111424 in words is "twenty-one million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 71 92 101 128 142 184 202 284 368 404 568 736 808 1136 1472 1616 1633 2272 2323 2944 3232 3266 4544 4646 6464 6532 7171 9088 9292 12928 13064 14342 18584 26128 28684 37168 52256 57368 74336 104512 114736 148672 164933 209024 229472 297344 329866 458944 659732 917888 1319464 2638928 5277856 10555712 21111424