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10129329 = 3272103223
BaseRepresentation
bin100110101000…
…111110110001
3201001121211100
4212220332301
510043114304
61001035013
7152045400
oct46507661
921047740
1010129329
115799351
123485a69
1321386b2
1414b9637
15d51439
hex9a8fb1

10129329 has 36 divisors (see below), whose sum is σ = 17262336. Its totient is φ = 5706288.

The previous prime is 10129321. The next prime is 10129349. The reversal of 10129329 is 92392101.

It is not a de Polignac number, because 10129329 - 23 = 10129321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10129321) 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 35 ways as a sum of consecutive naturals, for example, 45312 + ... + 45534.

Almost surely, 210129329 is an apocalyptic number.

It is an amenable number.

10129329 is a deficient number, since it is larger than the sum of its proper divisors (7133007).

10129329 is a wasteful number, since it uses less digits than its factorization.

10129329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10129329 is about 3182.6606793688. The cubic root of 10129329 is about 216.3682632438.

The spelling of 10129329 in words is "ten million, one hundred twenty-nine thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 103 147 223 309 441 669 721 927 1561 2007 2163 4683 5047 6489 10927 14049 15141 22969 32781 45423 68907 98343 160783 206721 482349 1125481 1447047 3376443 10129329