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10129889 = 711293449
BaseRepresentation
bin100110101001…
…000111100001
3201001122121002
4212221013201
510043124024
61001041345
7152050130
oct46510741
921048532
1010129889
115799810
123486255
132138a23
1414b9917
15d516ae
hex9a91e1

10129889 has 16 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 7848960.

The previous prime is 10129871. The next prime is 10129919. The reversal of 10129889 is 98892101.

10129889 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10129889 - 28 = 10129633 is a prime.

It is a super-2 number, since 2×101298892 = 205229302304642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10129849) 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 15 ways as a sum of consecutive naturals, for example, 22337 + ... + 22785.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 210129889 is an apocalyptic number.

It is an amenable number.

10129889 is a deficient number, since it is larger than the sum of its proper divisors (2570911).

10129889 is a wasteful number, since it uses less digits than its factorization.

10129889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760.

The product of its (nonzero) digits is 10368, while the sum is 38.

The square root of 10129889 is about 3182.7486548579. The cubic root of 10129889 is about 216.3722504772.

It can be divided in two parts, 1012 and 9889, that added together give a palindrome (10901).

The spelling of 10129889 in words is "ten million, one hundred twenty-nine thousand, eight hundred eighty-nine".

Divisors: 1 7 11 77 293 449 2051 3143 3223 4939 22561 34573 131557 920899 1447127 10129889