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21122420 = 22511671433
BaseRepresentation
bin101000010010…
…0110101110100
31110202010111212
41100210311310
520401404140
62032420552
7344352254
oct120446564
943663455
1021122420
1110a17650
1270a7758
1344b7297
142b3b964
151cc3765
hex1424d74

21122420 has 48 divisors (see below), whose sum is σ = 49146048. Its totient is φ = 7560960.

The previous prime is 21122419. The next prime is 21122443. The reversal of 21122420 is 2422112.

It is a junction number, because it is equal to n+sod(n) for n = 21122395 and 21122404.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14024 + ... + 15456.

It is an arithmetic number, because the mean of its divisors is an integer number (1023876).

Almost surely, 221122420 is an apocalyptic number.

21122420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24573024).

21122420 is an abundant number, since it is smaller than the sum of its proper divisors (28023628).

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

21122420 is a wasteful number, since it uses less digits than its factorization.

21122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 21122420 is about 4595.9134021433. The cubic root of 21122420 is about 276.4274863883.

Adding to 21122420 its reverse (2422112), we get a palindrome (23544532).

The spelling of 21122420 in words is "twenty-one million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1433 1474 2866 2948 3685 5732 7165 7370 14330 14740 15763 28660 31526 63052 78815 96011 157630 192022 315260 384044 480055 960110 1056121 1920220 2112242 4224484 5280605 10561210 21122420