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10520224 = 251131319
BaseRepresentation
bin101000001000…
…011010100000
3201210111000221
4220020122200
510143121344
61013252424
7155264131
oct50103240
921714027
1010520224
115a36000
123634114
1322445b0
14157bc88
15dcc184
hexa086a0

10520224 has 96 divisors (see below), whose sum is σ = 25824960. Its totient is φ = 4181760.

The previous prime is 10520219. The next prime is 10520227. The reversal of 10520224 is 42202501.

10520224 = T207 + T208 + ... + T415.

It is a super-2 number, since 2×105202242 = 221350226020352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10520198 and 10520207.

It is not an unprimeable number, because it can be changed into a prime (10520227) by changing a digit.

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, 553687 + ... + 553705.

It is an arithmetic number, because the mean of its divisors is an integer number (269010).

Almost surely, 210520224 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 10520224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12912480).

10520224 is an abundant number, since it is smaller than the sum of its proper divisors (15304736).

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

10520224 is a wasteful number, since it uses less digits than its factorization.

10520224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 10520224 is about 3243.4894789409. The cubic root of 10520224 is about 219.1164563439.

Adding to 10520224 its reverse (42202501), we get a palindrome (52722725).

The spelling of 10520224 in words is "ten million, five hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 76 88 104 121 143 152 176 208 209 242 247 286 304 352 416 418 484 494 572 608 836 968 988 1144 1331 1573 1672 1936 1976 2288 2299 2662 2717 3146 3344 3872 3952 4576 4598 5324 5434 6292 6688 7904 9196 10648 10868 12584 17303 18392 21296 21736 25168 25289 29887 34606 36784 42592 43472 50336 50578 59774 69212 73568 86944 101156 119548 138424 202312 239096 276848 328757 404624 478192 553696 657514 809248 956384 1315028 2630056 5260112 10520224