Search a number
-
+
9090090 = 2335131257
BaseRepresentation
bin100010101011…
…010000101010
3122002211021000
4202223100222
54311340330
6522455430
7140156502
oct42532052
918084230
109090090
115149579
123064576
131b63669
1412c8a02
15be8560
hex8ab42a

9090090 has 64 divisors (see below), whose sum is σ = 24520320. Its totient is φ = 2396160.

The previous prime is 9090061. The next prime is 9090127. The reversal of 9090090 is 900909.

It is a super-3 number, since 3×90900903 (a number of 22 digits) contains 333 as substring.

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 unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35242 + ... + 35498.

It is an arithmetic number, because the mean of its divisors is an integer number (383130).

Almost surely, 29090090 is an apocalyptic number.

9090090 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 9090090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12260160).

9090090 is an abundant number, since it is smaller than the sum of its proper divisors (15430230).

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

9090090 is a wasteful number, since it uses less digits than its factorization.

9090090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

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

The square root of 9090090 is about 3014.9776118572. The cubic root of 9090090 is about 208.7001339051.

Adding to 9090090 its reverse (900909), we get a palindrome (9990999).

The spelling of 9090090 in words is "nine million, ninety thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 131 135 257 262 270 393 514 655 771 786 1179 1285 1310 1542 1965 2313 2358 2570 3537 3855 3930 4626 5895 6939 7074 7710 11565 11790 13878 17685 23130 33667 34695 35370 67334 69390 101001 168335 202002 303003 336670 505005 606006 909009 1010010 1515015 1818018 3030030 4545045 9090090