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21142836 = 22331113372
BaseRepresentation
bin101000010100…
…1110100110100
31110210011112000
41100221310310
520403032321
62033055300
7344465631
oct120516464
943704460
1021142836
1110a30a20
1270b7530
1344c3670
142b45188
151cc9826
hex1429d34

21142836 has 144 divisors (see below), whose sum is σ = 66185280. Its totient is φ = 5754240.

The previous prime is 21142831. The next prime is 21142859. The reversal of 21142836 is 63824112.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142831) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 571410 + ... + 571446.

It is an arithmetic number, because the mean of its divisors is an integer number (459620).

Almost surely, 221142836 is an apocalyptic number.

21142836 is a gapful number since it is divisible by the number (26) 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 21142836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33092640).

21142836 is an abundant number, since it is smaller than the sum of its proper divisors (45042444).

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

21142836 is a wasteful number, since it uses less digits than its factorization.

21142836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 21142836 is about 4598.1339693402. The cubic root of 21142836 is about 276.5165185836.

Adding to 21142836 its reverse (63824112), we get a palindrome (84966948).

It can be divided in two parts, 2114 and 2836, that added together give a triangular number (4950 = T99).

The spelling of 21142836 in words is "twenty-one million, one hundred forty-two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 37 39 44 52 54 66 74 78 99 108 111 117 132 143 148 156 198 222 234 286 297 333 351 396 407 429 444 468 481 572 594 666 702 814 858 962 999 1188 1221 1287 1332 1369 1404 1443 1628 1716 1924 1998 2442 2574 2738 2886 3663 3861 3996 4107 4329 4884 5148 5291 5476 5772 7326 7722 8214 8658 10582 10989 12321 12987 14652 15059 15444 15873 16428 17316 17797 21164 21978 24642 25974 30118 31746 35594 36963 43956 45177 47619 49284 51948 53391 60236 63492 71188 73926 90354 95238 106782 135531 142857 147852 160173 180708 190476 195767 213564 271062 285714 320346 391534 406593 480519 542124 571428 587301 640692 783068 813186 961038 1174602 1626372 1761903 1922076 2349204 3523806 5285709 7047612 10571418 21142836