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10120266 = 2321361709
BaseRepresentation
bin100110100110…
…110001001010
3201001011101200
4212212301022
510042322031
61000525030
7152010102
oct46466112
921034350
1010120266
115792562
123480776
132134530
1414b6202
15d4d8e6
hex9a6c4a

10120266 has 48 divisors (see below), whose sum is σ = 24034920. Its totient is φ = 3058560.

The previous prime is 10120261. The next prime is 10120289. The reversal of 10120266 is 66202101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2117025 + 8003241 = 1455^2 + 2829^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10120261) 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 23 ways as a sum of consecutive naturals, for example, 13920 + ... + 14628.

Almost surely, 210120266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12017460).

10120266 is an abundant number, since it is smaller than the sum of its proper divisors (13914654).

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

10120266 is a wasteful number, since it uses less digits than its factorization.

10120266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10120266 is about 3181.2365520344. The cubic root of 10120266 is about 216.3037137000.

Adding to 10120266 its reverse (66202101), we get a palindrome (76322367).

The spelling of 10120266 in words is "ten million, one hundred twenty thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 709 793 1098 1418 1586 2127 2379 4254 4758 6381 7137 9217 12762 14274 18434 27651 43249 55302 82953 86498 129747 165906 259494 389241 562237 778482 1124474 1686711 3373422 5060133 10120266