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21308672 = 287112347
BaseRepresentation
bin101000101001…
…0010100000000
31111002121000002
41101102110000
520423334142
62040415132
7346056260
oct121222400
944077002
1021308672
1111034580
1271774a8
134550ca8
142b897a0
151d0da32
hex1452500

21308672 has 144 divisors (see below), whose sum is σ = 56512512. Its totient is φ = 7772160.

The previous prime is 21308663. The next prime is 21308681. The reversal of 21308672 is 27680312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21308663) and next prime (21308681).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453353 + ... + 453399.

It is an arithmetic number, because the mean of its divisors is an integer number (392448).

Almost surely, 221308672 is an apocalyptic number.

21308672 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 21308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28256256).

21308672 is an abundant number, since it is smaller than the sum of its proper divisors (35203840).

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

21308672 is a wasteful number, since it uses less digits than its factorization.

21308672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 21308672 is about 4616.1317138921. The cubic root of 21308672 is about 277.2375984488.

Adding to 21308672 its reverse (27680312), we get a palindrome (48988984).

The spelling of 21308672 in words is "twenty-one million, three hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 47 56 64 77 88 92 94 112 128 154 161 176 184 188 224 253 256 308 322 329 352 368 376 448 506 517 616 644 658 704 736 752 896 1012 1034 1081 1232 1288 1316 1408 1472 1504 1771 1792 2024 2068 2162 2464 2576 2632 2816 2944 3008 3542 3619 4048 4136 4324 4928 5152 5264 5888 6016 7084 7238 7567 8096 8272 8648 9856 10304 10528 11891 12032 14168 14476 15134 16192 16544 17296 19712 20608 21056 23782 28336 28952 30268 32384 33088 34592 41216 42112 47564 56672 57904 60536 64768 66176 69184 83237 84224 95128 113344 115808 121072 132352 138368 166474 190256 226688 231616 242144 276736 332948 380512 453376 463232 484288 665896 761024 926464 968576 1331792 1522048 1937152 2663584 3044096 5327168 10654336 21308672