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10129266 = 2337127211
BaseRepresentation
bin100110101000…
…111101110010
3201001121202000
4212220331302
510043114031
61001034430
7152045250
oct46507562
921047660
1010129266
1157992a4
123485a16
132138664
1414b95d0
15d513e6
hex9a8f72

10129266 has 64 divisors (see below), whose sum is σ = 26050560. Its totient is φ = 2857680.

The previous prime is 10129253. The next prime is 10129267. The reversal of 10129266 is 66292101.

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 (10129267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47901 + ... + 48111.

It is an arithmetic number, because the mean of its divisors is an integer number (407040).

Almost surely, 210129266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10129266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13025280).

10129266 is an abundant number, since it is smaller than the sum of its proper divisors (15921294).

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

10129266 is a wasteful number, since it uses less digits than its factorization.

10129266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10129266 is about 3182.6507819740. The cubic root of 10129266 is about 216.3678146709.

The spelling of 10129266 in words is "ten million, one hundred twenty-nine thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 127 189 211 254 378 381 422 633 762 889 1143 1266 1477 1778 1899 2286 2667 2954 3429 3798 4431 5334 5697 6858 8001 8862 11394 13293 16002 24003 26586 26797 39879 48006 53594 79758 80391 160782 187579 241173 375158 482346 562737 723519 1125474 1447038 1688211 3376422 5064633 10129266