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21050016 = 25313101167
BaseRepresentation
bin101000001001…
…1001010100000
31110121110012020
41100103022200
520342100031
62031101440
7343631211
oct120231240
943543166
1021050016
1110978209
127071880
134490340
142b1d408
151cac096
hex14132a0

21050016 has 96 divisors (see below), whose sum is σ = 60455808. Its totient is φ = 6374400.

The previous prime is 21050011. The next prime is 21050017. The reversal of 21050016 is 61005012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 21049977 and 21050004.

It is not an unprimeable number, because it can be changed into a prime (21050011) 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, 125965 + ... + 126131.

It is an arithmetic number, because the mean of its divisors is an integer number (629748).

Almost surely, 221050016 is an apocalyptic number.

21050016 is a gapful number since it is divisible by the number (26) 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 21050016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30227904).

21050016 is an abundant number, since it is smaller than the sum of its proper divisors (39405792).

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

21050016 is a wasteful number, since it uses less digits than its factorization.

21050016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 21050016 is about 4588.0296424500. The cubic root of 21050016 is about 276.1112762812. Note that the first 3 decimals are identical.

Adding to 21050016 its reverse (61005012), we get a palindrome (82055028).

The spelling of 21050016 in words is "twenty-one million, fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 101 104 156 167 202 208 303 312 334 404 416 501 606 624 668 808 1002 1212 1248 1313 1336 1616 2004 2171 2424 2626 2672 3232 3939 4008 4342 4848 5252 5344 6513 7878 8016 8684 9696 10504 13026 15756 16032 16867 17368 21008 26052 31512 33734 34736 42016 50601 52104 63024 67468 69472 101202 104208 126048 134936 202404 208416 219271 269872 404808 438542 539744 657813 809616 877084 1315626 1619232 1754168 2631252 3508336 5262504 7016672 10525008 21050016