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21997872 = 2433133917
BaseRepresentation
bin101001111101…
…0100100110000
31112101121102000
41103322210300
521112412442
62103254000
7354656511
oct123724460
945347360
1021997872
1111465366
12744a300
1347328c0
142cc8a08
151de7d4c
hex14fa930

21997872 has 80 divisors (see below), whose sum is σ = 68016480. Its totient is φ = 6766848.

The previous prime is 21997861. The next prime is 21997931. The reversal of 21997872 is 27879912.

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, 3658 + ... + 7574.

It is an arithmetic number, because the mean of its divisors is an integer number (850206).

Almost surely, 221997872 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 21997872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34008240).

21997872 is an abundant number, since it is smaller than the sum of its proper divisors (46018608).

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

21997872 is a wasteful number, since it uses less digits than its factorization.

21997872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3935 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 21997872 is about 4690.1889087754. The cubic root of 21997872 is about 280.1948983201.

The spelling of 21997872 in words is "twenty-one million, nine hundred ninety-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 3917 5616 7834 11751 15668 23502 31336 35253 47004 50921 62672 70506 94008 101842 105759 141012 152763 188016 203684 211518 282024 305526 407368 423036 458289 564048 611052 814736 846072 916578 1222104 1374867 1692144 1833156 2444208 2749734 3666312 5499468 7332624 10998936 21997872