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21380112 = 24371347
BaseRepresentation
bin101000110001…
…1110000010000
31111020020000000
41101203300100
520433130422
62042130000
7346504455
oct121436020
944206000
1021380112
1111083216
1271b0900
134577670
142ba782c
151d24cac
hex1463c10

21380112 has 160 divisors (see below), whose sum is σ = 68328960. Its totient is φ = 6438528.

The previous prime is 21380081. The next prime is 21380113. The reversal of 21380112 is 21108312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21380113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454873 + ... + 454919.

It is an arithmetic number, because the mean of its divisors is an integer number (427056).

Almost surely, 221380112 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 21380112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34164480).

21380112 is an abundant number, since it is smaller than the sum of its proper divisors (46948848).

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

21380112 is an equidigital number, since it uses as much as digits as its factorization.

21380112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 21380112 is about 4623.8633197793. The cubic root of 21380112 is about 277.5470774768.

Adding to 21380112 its reverse (21108312), we get a palindrome (42488424).

The spelling of 21380112 in words is "twenty-one million, three hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 47 48 52 54 72 78 81 94 104 108 117 141 144 156 162 188 208 216 234 243 282 312 324 351 376 423 432 468 486 564 611 624 648 702 729 752 846 936 972 1053 1128 1222 1269 1296 1404 1458 1692 1833 1872 1944 2106 2187 2256 2444 2538 2808 2916 3159 3384 3666 3807 3888 4212 4374 4888 5076 5499 5616 5832 6318 6768 7332 7614 8424 8748 9477 9776 10152 10998 11421 11664 12636 14664 15228 16497 16848 17496 18954 20304 21996 22842 25272 28431 29328 30456 32994 34263 34992 37908 43992 45684 49491 50544 56862 60912 65988 68526 75816 87984 91368 98982 102789 113724 131976 137052 148473 151632 182736 197964 205578 227448 263952 274104 296946 395928 411156 445419 454896 548208 593892 791856 822312 890838 1187784 1336257 1644624 1781676 2375568 2672514 3563352 5345028 7126704 10690056 21380112