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21720096 = 2533231093
BaseRepresentation
bin101001011011…
…0110000100000
31111212111101000
41102312300200
521030020341
62053312000
7352421616
oct122666040
944774330
1021720096
11112956a2
127335600
134666338
142c556b6
151d908b6
hex14b6c20

21720096 has 96 divisors (see below), whose sum is σ = 66165120. Its totient is φ = 6918912.

The previous prime is 21720053. The next prime is 21720109. The reversal of 21720096 is 69002712.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19326 + ... + 20418.

It is an arithmetic number, because the mean of its divisors is an integer number (689220).

Almost surely, 221720096 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 21720096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33082560).

21720096 is an abundant number, since it is smaller than the sum of its proper divisors (44445024).

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

21720096 is a wasteful number, since it uses less digits than its factorization.

21720096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 21720096 is about 4660.4823784668. The cubic root of 21720096 is about 279.0105210508.

The spelling of 21720096 in words is "twenty-one million, seven hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1093 1104 1242 1656 2186 2208 2484 3279 3312 4372 4968 6558 6624 8744 9837 9936 13116 17488 19674 19872 25139 26232 29511 34976 39348 50278 52464 59022 75417 78696 100556 104928 118044 150834 157392 201112 226251 236088 301668 314784 402224 452502 472176 603336 678753 804448 905004 944352 1206672 1357506 1810008 2413344 2715012 3620016 5430024 7240032 10860048 21720096