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990990 = 2325711213
BaseRepresentation
bin11110001111100001110
31212100101100
43301330032
5223202430
633123530
711265120
oct3617416
91770340
10990990
11617600
123b95a6
132890b0
141bb210
15148960
hexf1f0e

990990 has 144 divisors (see below), whose sum is σ = 3485664. Its totient is φ = 190080.

The previous prime is 990989. The next prime is 991009. The reversal of 990990 is 99099.

It is a super-2 number, since 2×9909902 = 1964122360200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76224 + ... + 76236.

It is an arithmetic number, because the mean of its divisors is an integer number (24206).

2990990 is an apocalyptic number.

990990 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 990990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742832).

990990 is an abundant number, since it is smaller than the sum of its proper divisors (2494674).

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

990990 is a wasteful number, since it uses less digits than its factorization.

990990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 41 counting only the distinct ones).

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

The square root of 990990 is about 995.4848065139. The cubic root of 990990 is about 99.6987601232.

It can be divided in two parts, 9909 and 90, that added together give a palindrome (9999).

The spelling of 990990 in words is "nine hundred ninety thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 13 14 15 18 21 22 26 30 33 35 39 42 45 55 63 65 66 70 77 78 90 91 99 105 110 117 121 126 130 143 154 165 182 195 198 210 231 234 242 273 286 315 330 363 385 390 429 455 462 495 546 585 605 630 693 715 726 770 819 847 858 910 990 1001 1089 1155 1170 1210 1287 1365 1386 1430 1573 1638 1694 1815 2002 2145 2178 2310 2541 2574 2730 3003 3146 3465 3630 4095 4235 4290 4719 5005 5082 5445 6006 6435 6930 7623 7865 8190 8470 9009 9438 10010 10890 11011 12705 12870 14157 15015 15246 15730 18018 22022 23595 25410 28314 30030 33033 38115 45045 47190 55055 66066 70785 76230 90090 99099 110110 141570 165165 198198 330330 495495 990990