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21320442 = 23311213251
BaseRepresentation
bin101000101010…
…1001011111010
31111010012011000
41101111023322
520424223232
62040545430
7346135503
oct121251372
944105130
1021320442
1111042400
127182276
134556460
142b8dbaa
151d1227c
hex14552fa

21320442 has 96 divisors (see below), whose sum is σ = 56306880. Its totient is φ = 5940000.

The previous prime is 21320407. The next prime is 21320447. The reversal of 21320442 is 24402312.

It is a super-2 number, since 2×213204422 = 909122494150728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21320447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84817 + ... + 85067.

It is an arithmetic number, because the mean of its divisors is an integer number (586530).

Almost surely, 221320442 is an apocalyptic number.

21320442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28153440).

21320442 is an abundant number, since it is smaller than the sum of its proper divisors (34986438).

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

21320442 is a wasteful number, since it uses less digits than its factorization.

21320442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 21320442 is about 4617.4064148611. The cubic root of 21320442 is about 277.2886337881.

Adding to 21320442 its reverse (24402312), we get a palindrome (45722754).

The spelling of 21320442 in words is "twenty-one million, three hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 121 143 198 234 242 251 286 297 351 363 429 502 594 702 726 753 858 1089 1287 1506 1573 2178 2259 2574 2761 3146 3263 3267 3861 4518 4719 5522 6526 6534 6777 7722 8283 9438 9789 13554 14157 16566 19578 24849 28314 29367 30371 35893 42471 49698 58734 60742 71786 74547 84942 88101 91113 107679 149094 176202 182226 215358 273339 323037 394823 546678 646074 789646 820017 969111 1184469 1640034 1938222 2368938 3553407 7106814 10660221 21320442