Search a number
-
+
21068160 = 273510973
BaseRepresentation
bin101000001011…
…1100110000000
31110122101002020
41100113212000
520343140120
62031321440
7344035131
oct120274600
943571066
1021068160
111098a903
127080280
134498689
142b25c88
151cb2640
hex1417980

21068160 has 64 divisors (see below), whose sum is σ = 67160880. Its totient is φ = 5617664.

The previous prime is 21068149. The next prime is 21068167. The reversal of 21068160 is 6186012.

21068160 = 15262 + 15272 + ... + 15342.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21068160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21068167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3567 + ... + 7406.

Almost surely, 221068160 is an apocalyptic number.

21068160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21068160 is an abundant number, since it is smaller than the sum of its proper divisors (46092720).

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

21068160 is a wasteful number, since it uses less digits than its factorization.

21068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10995 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 21068160 is about 4590.0065359431. The cubic root of 21068160 is about 276.1905846026.

The spelling of 21068160 in words is "twenty-one million, sixty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 10973 21946 32919 43892 54865 65838 87784 109730 131676 164595 175568 219460 263352 329190 351136 438920 526704 658380 702272 877840 1053408 1316760 1404544 1755680 2106816 2633520 3511360 4213632 5267040 7022720 10534080 21068160