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21831040 = 275711443
BaseRepresentation
bin101001101000…
…1110110000000
31112002010120001
41103101312000
521042043130
62055525344
7353363230
oct123216600
945063501
1021831040
1111360a90
127389854
1346a499a
142c83cc0
151db36ca
hex14d1d80

21831040 has 128 divisors (see below), whose sum is σ = 65214720. Its totient is φ = 6789120.

The previous prime is 21831023. The next prime is 21831041. The reversal of 21831040 is 4013812.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 21830999 and 21831017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21831041) 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, 49059 + ... + 49501.

It is an arithmetic number, because the mean of its divisors is an integer number (509490).

Almost surely, 221831040 is an apocalyptic number.

21831040 is a gapful number since it is divisible by the number (20) 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 21831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32607360).

21831040 is an abundant number, since it is smaller than the sum of its proper divisors (43383680).

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

21831040 is a wasteful number, since it uses less digits than its factorization.

21831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 21831040 is about 4672.3698483746. The cubic root of 21831040 is about 279.4847667770.

Adding to 21831040 its reverse (4013812), we get a palindrome (25844852).

It can be divided in two parts, 2183 and 1040, that added together give a palindrome (3223).

The spelling of 21831040 in words is "twenty-one million, eight hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 443 448 560 616 640 704 770 880 886 896 1120 1232 1408 1540 1760 1772 2215 2240 2464 3080 3101 3520 3544 4430 4480 4873 4928 6160 6202 7040 7088 8860 9746 9856 12320 12404 14176 15505 17720 19492 24365 24640 24808 28352 31010 34111 35440 38984 48730 49280 49616 56704 62020 68222 70880 77968 97460 99232 124040 136444 141760 155936 170555 194920 198464 248080 272888 283520 311872 341110 389840 396928 496160 545776 623744 682220 779680 992320 1091552 1364440 1559360 1984640 2183104 2728880 3118720 4366208 5457760 10915520 21831040