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9000990 = 2335173753
BaseRepresentation
bin100010010101…
…100000011110
3121221022001000
4202111200132
54301012430
6520531130
7136335645
oct42254036
917838030
109000990
115098639
123020aa6
131b31c3b
1412a435c
15bcbe60
hex89581e

9000990 has 128 divisors (see below), whose sum is σ = 26593920. Its totient is φ = 2156544.

The previous prime is 9000989. The next prime is 9000997. The reversal of 9000990 is 990009.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

9000990 is a modest number, since divided by 990 gives 900 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000997) 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, 169804 + ... + 169856.

It is an arithmetic number, because the mean of its divisors is an integer number (207765).

Almost surely, 29000990 is an apocalyptic number.

9000990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13296960).

9000990 is an abundant number, since it is smaller than the sum of its proper divisors (17592930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9000990 is a wasteful number, since it uses less digits than its factorization.

9000990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

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

The square root of 9000990 is about 3000.1649954627. The cubic root of 9000990 is about 208.0160089996.

Adding to 9000990 its reverse (990009), we get a palindrome (9990999).

The spelling of 9000990 in words is "nine million, nine hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 37 45 51 53 54 74 85 90 102 106 111 135 153 159 170 185 222 255 265 270 306 318 333 370 459 477 510 530 555 629 666 765 795 901 918 954 999 1110 1258 1431 1530 1590 1665 1802 1887 1961 1998 2295 2385 2703 2862 3145 3330 3774 3922 4505 4590 4770 4995 5406 5661 5883 6290 7155 8109 9010 9435 9805 9990 11322 11766 13515 14310 16218 16983 17649 18870 19610 24327 27030 28305 29415 33337 33966 35298 40545 48654 52947 56610 58830 66674 81090 84915 88245 100011 105894 121635 166685 169830 176490 200022 243270 264735 300033 333370 500055 529470 600066 900099 1000110 1500165 1800198 3000330 4500495 9000990