Search a number
-
+
21086240 = 255767281
BaseRepresentation
bin101000001110…
…0000000100000
31110200021212212
41100130000200
520344224430
62031541252
7344141630
oct120340040
943607785
1021086240
11109a244a
12708a828
1344a3986
142b2c6c0
151cb7b95
hex141c020

21086240 has 96 divisors (see below), whose sum is σ = 57988224. Its totient is φ = 7096320.

The previous prime is 21086237. The next prime is 21086249. The reversal of 21086240 is 4268012.

It is not an unprimeable number, because it can be changed into a prime (21086249) 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, 74900 + ... + 75180.

It is an arithmetic number, because the mean of its divisors is an integer number (604044).

Almost surely, 221086240 is an apocalyptic number.

21086240 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 21086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28994112).

21086240 is an abundant number, since it is smaller than the sum of its proper divisors (36901984).

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

21086240 is a wasteful number, since it uses less digits than its factorization.

21086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 21086240 is about 4591.9756096913. The cubic root of 21086240 is about 276.2695678965.

The spelling of 21086240 in words is "twenty-one million, eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 67 70 80 112 134 140 160 224 268 280 281 335 469 536 560 562 670 938 1072 1120 1124 1340 1405 1876 1967 2144 2248 2345 2680 2810 3752 3934 4496 4690 5360 5620 7504 7868 8992 9380 9835 10720 11240 15008 15736 18760 18827 19670 22480 31472 37520 37654 39340 44960 62944 75040 75308 78680 94135 131789 150616 157360 188270 263578 301232 314720 376540 527156 602464 658945 753080 1054312 1317890 1506160 2108624 2635780 3012320 4217248 5271560 10543120 21086240