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90099009 = 327111373137
BaseRepresentation
bin1010101111011…
…00110101000001
320021112111121100
411113230311001
5141031132014
612535045013
72142554220
oct527546501
9207474540
1090099009
11469497a0
1226210769
1315888030
14bd74cb7
157d9b009
hex55ecd41

90099009 has 96 divisors (see below), whose sum is σ = 178424064. Its totient is φ = 42301440.

The previous prime is 90099001. The next prime is 90099091.

90099009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90099009 - 23 = 90099001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90099001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 657589 + ... + 657725.

It is an arithmetic number, because the mean of its divisors is an integer number (1858584).

Almost surely, 290099009 is an apocalyptic number.

90099009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90099009 is a deficient number, since it is larger than the sum of its proper divisors (88325055).

90099009 is a wasteful number, since it uses less digits than its factorization.

90099009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

The square root of 90099009 is about 9492.0497786305. The cubic root of 90099009 is about 448.3047475436.

The spelling of 90099009 in words is "ninety million, ninety-nine thousand, nine".

Divisors: 1 3 7 9 11 13 21 33 39 63 73 77 91 99 117 137 143 219 231 273 411 429 511 657 693 803 819 949 959 1001 1233 1287 1507 1533 1781 2409 2847 2877 3003 4521 4599 5343 5621 6643 7227 8541 8631 9009 10001 10439 10549 12467 13563 16029 16863 19591 19929 30003 31317 31647 37401 50589 58773 59787 70007 73073 90009 93951 94941 110011 112203 130013 137137 176319 210021 219219 330033 390039 411411 630063 657657 770077 910091 990099 1170117 1234233 1430143 2310231 2730273 4290429 6930693 8190819 10011001 12871287 30033003 90099009