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10008999 = 32711213101
BaseRepresentation
bin100110001011…
…100110100111
3200211111202200
4212023212213
510030241444
6554305543
7151034520
oct46134647
920744680
1010008999
115716a00
1234282b3
1320c59b0
141487847
15d2a969
hex98b9a7

10008999 has 72 divisors (see below), whose sum is σ = 19752096. Its totient is φ = 4752000.

The previous prime is 10008983. The next prime is 10009003. The reversal of 10008999 is 99980001.

10008999 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 10008999 - 24 = 10008983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008959) 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 71 ways as a sum of consecutive naturals, for example, 99049 + ... + 99149.

Almost surely, 210008999 is an apocalyptic number.

10008999 is a deficient number, since it is larger than the sum of its proper divisors (9743097).

10008999 is a wasteful number, since it uses less digits than its factorization.

10008999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 10008999 is about 3163.7002070361. The cubic root of 10008999 is about 215.5080754865.

It can be divided in two parts, 1000 and 8999, that added together give a palindrome (9999).

The spelling of 10008999 in words is "ten million, eight thousand, nine hundred ninety-nine".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 101 117 121 143 231 273 303 363 429 693 707 819 847 909 1001 1089 1111 1287 1313 1573 2121 2541 3003 3333 3939 4719 6363 7623 7777 9009 9191 9999 11011 11817 12221 14157 14443 23331 27573 33033 36663 43329 69993 82719 85547 99099 101101 109989 129987 158873 256641 303303 476619 769923 909909 1112111 1429857 3336333 10008999