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900090009 = 33713379901
BaseRepresentation
bin110101101001100…
…100100010011001
32022201200022101000
4311221210202121
53320410340014
6225152015213
731206432060
oct6551444231
92281608330
10900090009
11422093a45
12211531509
13114628650
14877811d7
1554048509
hex35a64899

900090009 has 64 divisors (see below), whose sum is σ = 1685716480. Its totient is φ = 461894400.

The previous prime is 900089989. The next prime is 900090049.

900090009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 900090009 - 25 = 900089977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

900090009 is a modest number, since divided by 90009 gives 9 as remainder.

It is not an unprimeable number, because it can be changed into a prime (900090049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85959 + ... + 95859.

It is an arithmetic number, because the mean of its divisors is an integer number (26339320).

Almost surely, 2900090009 is an apocalyptic number.

It is an amenable number.

900090009 is a deficient number, since it is larger than the sum of its proper divisors (785626471).

900090009 is a wasteful number, since it uses less digits than its factorization.

900090009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9967 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 900090009 is about 30001.5001124944. The cubic root of 900090009 is about 965.5215697305.

The spelling of 900090009 in words is "nine hundred million, ninety thousand, nine".

Divisors: 1 3 7 9 13 21 27 37 39 63 91 111 117 189 259 273 333 351 481 777 819 999 1443 2331 2457 3367 4329 6993 9901 10101 12987 29703 30303 69307 89109 90909 128713 207921 267327 366337 386139 623763 900991 1099011 1158417 1871289 2564359 2702973 3297033 3475251 4762381 7693077 8108919 9891099 14287143 23079231 24326757 33336667 42861429 69237693 100010001 128584287 300030003 900090009