Base | Representation |
---|---|
bin | 11011101111100100010 |
3 | 1201012001000 |
4 | 3131330202 |
5 | 213042330 |
6 | 31252430 |
7 | 10504260 |
oct | 3357442 |
9 | 1635030 |
10 | 909090 |
11 | 571016 |
12 | 37a116 |
13 | 25aa30 |
14 | 199430 |
15 | 12e560 |
hex | ddf22 |
909090 has 128 divisors (see below), whose sum is σ = 3064320. Its totient is φ = 186624.
The previous prime is 909089. The next prime is 909091. The reversal of 909090 is 90909.
It is an interprime number because it is at equal distance from previous prime (909089) and next prime (909091).
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.
It is an alternating number because its digits alternate between odd and even.
909090 is an undulating number in base 10.
909090 is a modest number, since divided by 9090 gives 90 as remainder.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (909091) 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, 24552 + ... + 24588.
It is an arithmetic number, because the mean of its divisors is an integer number (23940).
2909090 is an apocalyptic number.
909090 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 909090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532160).
909090 is an abundant number, since it is smaller than the sum of its proper divisors (2155230).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
909090 is a wasteful number, since it uses less digits than its factorization.
909090 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 73 (or 67 counting only the distinct ones).
The product of its (nonzero) digits is 729, while the sum is 27.
The square root of 909090 is about 953.4621125142. The cubic root of 909090 is about 96.8728983242.
909090 divided by its sum of digits (27) gives a triangular number (33670 = T259).
Adding to 909090 its reverse (90909), we get a palindrome (999999).
It can be divided in two parts, 9090 and 90, that added together give a triangular number (9180 = T135).
The spelling of 909090 in words is "nine hundred nine thousand, ninety".
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