Search a number
-
+
21678180 = 2235615923
BaseRepresentation
bin101001010110…
…0100001100100
31111210100212120
41102230201210
521022200210
62052345540
7352155456
oct122544144
944710776
1021678180
1111267157
1273152b0
134650234
142c442d6
151d83270
hex14ac864

21678180 has 48 divisors (see below), whose sum is σ = 61704384. Its totient is φ = 5685120.

The previous prime is 21678161. The next prime is 21678197. The reversal of 21678180 is 8187612.

It is a happy number.

It is a super-2 number, since 2×216781802 = 939886976224800, which contains 22 as substring.

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, 699 + ... + 6621.

It is an arithmetic number, because the mean of its divisors is an integer number (1285508).

Almost surely, 221678180 is an apocalyptic number.

21678180 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 21678180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30852192).

21678180 is an abundant number, since it is smaller than the sum of its proper divisors (40026204).

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

21678180 is a wasteful number, since it uses less digits than its factorization.

21678180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5996 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 21678180 is about 4655.9832473925. The cubic root of 21678180 is about 278.8309249112.

The spelling of 21678180 in words is "twenty-one million, six hundred seventy-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 5923 11846 17769 23692 29615 35538 59230 71076 88845 118460 177690 355380 361303 722606 1083909 1445212 1806515 2167818 3613030 4335636 5419545 7226060 10839090 21678180