Search a number
-
+
21160720 = 2457291303
BaseRepresentation
bin101000010111…
…0001100010000
31110211002001101
41100232030100
520404120340
62033314144
7344602030
oct120561420
943732041
1021160720
1110a433a9
127105954
1344cb849
142b4b8c0
151ccec9a
hex142e310

21160720 has 80 divisors (see below), whose sum is σ = 58210560. Its totient is φ = 6999552.

The previous prime is 21160709. The next prime is 21160721. The reversal of 21160720 is 2706112.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21160721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15589 + ... + 16891.

It is an arithmetic number, because the mean of its divisors is an integer number (727632).

Almost surely, 221160720 is an apocalyptic number.

21160720 is a gapful number since it is divisible by the number (20) 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 21160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29105280).

21160720 is an abundant number, since it is smaller than the sum of its proper divisors (37049840).

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

21160720 is a wasteful number, since it uses less digits than its factorization.

21160720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 21160720 is about 4600.0782602038. The cubic root of 21160720 is about 276.5944618917.

Adding to 21160720 its reverse (2706112), we get a palindrome (23866832).

The spelling of 21160720 in words is "twenty-one million, one hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1303 1624 2030 2320 2606 3248 4060 5212 6515 8120 9121 10424 13030 16240 18242 20848 26060 36484 37787 45605 52120 72968 75574 91210 104240 145936 151148 182420 188935 264509 302296 364840 377870 529018 604592 729680 755740 1058036 1322545 1511480 2116072 2645090 3022960 4232144 5290180 10580360 21160720