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21678272 = 267115383
BaseRepresentation
bin101001010110…
…0100011000000
31111210100222222
41102230203000
521022201042
62052350212
7352155650
oct122544300
944710888
1021678272
1111267230
127315368
1346502a5
142c44360
151d832d2
hex14ac8c0

21678272 has 112 divisors (see below), whose sum is σ = 55302912. Its totient is φ = 8186880.

The previous prime is 21678257. The next prime is 21678277. The reversal of 21678272 is 27287612.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21678277) 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, 261143 + ... + 261225.

It is an arithmetic number, because the mean of its divisors is an integer number (493776).

Almost surely, 221678272 is an apocalyptic number.

21678272 is a gapful number since it is divisible by the number (22) 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 21678272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27651456).

21678272 is an abundant number, since it is smaller than the sum of its proper divisors (33624640).

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

21678272 is a wasteful number, since it uses less digits than its factorization.

21678272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its digits is 18816, while the sum is 35.

The square root of 21678272 is about 4655.9931271427. The cubic root of 21678272 is about 278.8313193540.

The spelling of 21678272 in words is "twenty-one million, six hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 64 77 83 88 106 112 154 166 176 212 224 308 332 352 371 424 448 581 583 616 664 704 742 848 913 1162 1166 1232 1328 1484 1696 1826 2324 2332 2464 2656 2968 3392 3652 4081 4399 4648 4664 4928 5312 5936 6391 7304 8162 8798 9296 9328 11872 12782 14608 16324 17596 18592 18656 23744 25564 29216 30793 32648 35192 37184 37312 48389 51128 58432 61586 65296 70384 96778 102256 123172 130592 140768 193556 204512 246344 261184 281536 338723 387112 409024 492688 677446 774224 985376 1354892 1548448 1970752 2709784 3096896 5419568 10839136 21678272