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21720496 = 2471959173
BaseRepresentation
bin101001011011…
…0110110110000
31111212111220211
41102312312300
521030023441
62053313504
7352423030
oct122666660
944774824
1021720496
1111295a26
127335894
134666585
142c558c0
151d90a81
hex14b6db0

21720496 has 80 divisors (see below), whose sum is σ = 51782400. Its totient is φ = 8619264.

The previous prime is 21720481. The next prime is 21720499. The reversal of 21720496 is 69402712.

It is not an unprimeable number, because it can be changed into a prime (21720499) 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 15 ways as a sum of consecutive naturals, for example, 125466 + ... + 125638.

It is an arithmetic number, because the mean of its divisors is an integer number (647280).

Almost surely, 221720496 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 21720496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25891200).

21720496 is an abundant number, since it is smaller than the sum of its proper divisors (30061904).

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

21720496 is a wasteful number, since it uses less digits than its factorization.

21720496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 21720496 is about 4660.5252922820. The cubic root of 21720496 is about 279.0122338045.

The spelling of 21720496 in words is "twenty-one million, seven hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 59 76 112 118 133 152 173 236 266 304 346 413 472 532 692 826 944 1064 1121 1211 1384 1652 2128 2242 2422 2768 3287 3304 4484 4844 6574 6608 7847 8968 9688 10207 13148 15694 17936 19376 20414 23009 26296 31388 40828 46018 52592 62776 71449 81656 92036 125552 142898 163312 184072 193933 285796 368144 387866 571592 775732 1143184 1357531 1551464 2715062 3102928 5430124 10860248 21720496