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21489216 = 263759271
BaseRepresentation
bin101000111111…
…0011001000000
31111102202122220
41101332121000
521000123331
62044331040
7350440530
oct121763100
944382586
1021489216
1111148191
127243a80
1345b5218
142bd54c0
151d47296
hex147e640

21489216 has 112 divisors (see below), whose sum is σ = 66324480. Its totient is φ = 6013440.

The previous prime is 21489191. The next prime is 21489233. The reversal of 21489216 is 61298412.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79161 + ... + 79431.

Almost surely, 221489216 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 21489216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33162240).

21489216 is an abundant number, since it is smaller than the sum of its proper divisors (44835264).

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

21489216 is a wasteful number, since it uses less digits than its factorization.

21489216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 21489216 is about 4635.6462332667. The cubic root of 21489216 is about 278.0183898260.

The spelling of 21489216 in words is "twenty-one million, four hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 168 177 192 224 236 271 336 354 413 448 472 542 672 708 813 826 944 1084 1239 1344 1416 1626 1652 1888 1897 2168 2478 2832 3252 3304 3776 3794 4336 4956 5664 5691 6504 6608 7588 8672 9912 11328 11382 13008 13216 15176 15989 17344 19824 22764 26016 26432 30352 31978 39648 45528 47967 52032 60704 63956 79296 91056 95934 111923 121408 127912 182112 191868 223846 255824 335769 364224 383736 447692 511648 671538 767472 895384 1023296 1343076 1534944 1790768 2686152 3069888 3581536 5372304 7163072 10744608 21489216