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21720468 = 22371122137
BaseRepresentation
bin101001011011…
…0110110010100
31111212111212210
41102312312110
521030023333
62053313420
7352422660
oct122666624
944774783
1021720468
1111295a00
127335870
134666563
142c558a0
151d90a63
hex14b6d94

21720468 has 72 divisors (see below), whose sum is σ = 63695296. Its totient is φ = 5639040.

The previous prime is 21720467. The next prime is 21720469. The reversal of 21720468 is 86402712.

It is an interprime number because it is at equal distance from previous prime (21720467) and next prime (21720469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21720463) 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 23 ways as a sum of consecutive naturals, for example, 9096 + ... + 11232.

Almost surely, 221720468 is an apocalyptic number.

21720468 is a gapful number since it is divisible by the number (28) 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 21720468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31847648).

21720468 is an abundant number, since it is smaller than the sum of its proper divisors (41974828).

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

21720468 is a wasteful number, since it uses less digits than its factorization.

21720468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 21720468 is about 4660.5222883278. The cubic root of 21720468 is about 279.0121139124.

The spelling of 21720468 in words is "twenty-one million, seven hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2137 2541 3388 4274 5082 6411 8548 10164 12822 14959 23507 25644 29918 44877 47014 59836 70521 89754 94028 141042 164549 179508 258577 282084 329098 493647 517154 658196 775731 987294 1034308 1551462 1810039 1974588 3102924 3620078 5430117 7240156 10860234 21720468