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21072168 = 23321347479
BaseRepresentation
bin101000001100…
…0100100101000
31110122120120200
41100120210220
520343302133
62031352200
7344052615
oct120304450
943576520
1021072168
1110992917
127082660
13449a450
142b2750c
151cb3913
hex1418928

21072168 has 96 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 6332544.

The previous prime is 21072137. The next prime is 21072169. The reversal of 21072168 is 86127012.

It is not an unprimeable number, because it can be changed into a prime (21072169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43753 + ... + 44231.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 221072168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21072168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

21072168 is an abundant number, since it is smaller than the sum of its proper divisors (41827032).

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

21072168 is a wasteful number, since it uses less digits than its factorization.

21072168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 21072168 is about 4590.4431158658. The cubic root of 21072168 is about 276.2080976281.

The spelling of 21072168 in words is "twenty-one million, seventy-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 47 52 72 78 94 104 117 141 156 188 234 282 312 376 423 468 479 564 611 846 936 958 1128 1222 1437 1692 1833 1916 2444 2874 3384 3666 3832 4311 4888 5499 5748 6227 7332 8622 10998 11496 12454 14664 17244 18681 21996 22513 24908 34488 37362 43992 45026 49816 56043 67539 74724 90052 112086 135078 149448 180104 202617 224172 270156 292669 405234 448344 540312 585338 810468 878007 1170676 1620936 1756014 2341352 2634021 3512028 5268042 7024056 10536084 21072168