Search a number
-
+
21880080 = 2432530389
BaseRepresentation
bin101001101110…
…1110100010000
31112011121211100
41103131310100
521100130310
62100544400
7353656215
oct123356420
945147740
1021880080
1111394912
1273b2100
1346c10c1
142c97b0c
151dc2ec0
hex14ddd10

21880080 has 60 divisors (see below), whose sum is σ = 73483020. Its totient is φ = 5834496.

The previous prime is 21880073. The next prime is 21880081. The reversal of 21880080 is 8008812.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 10265616 = 3408^2 + 3204^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (21880081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14475 + ... + 15914.

It is an arithmetic number, because the mean of its divisors is an integer number (1224717).

Almost surely, 221880080 is an apocalyptic number.

21880080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21880080 is an abundant number, since it is smaller than the sum of its proper divisors (51602940).

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

21880080 is a wasteful number, since it uses less digits than its factorization.

21880080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30408 (or 30399 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 21880080 is about 4677.6147767853. The cubic root of 21880080 is about 279.6938831393.

Adding to 21880080 its reverse (8008812), we get a palindrome (29888892).

The spelling of 21880080 in words is "twenty-one million, eight hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 30389 60778 91167 121556 151945 182334 243112 273501 303890 364668 455835 486224 547002 607780 729336 911670 1094004 1215560 1367505 1458672 1823340 2188008 2431120 2735010 3646680 4376016 5470020 7293360 10940040 21880080