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9030840 = 2335713827
BaseRepresentation
bin100010011100…
…110010111000
3121222210222120
4202130302320
54302441330
6521321240
7136521660
oct42346270
917883876
109030840
115109005
123036220
131b426c0
1412b11a0
15bd5c10
hex89ccb8

9030840 has 128 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 1903104.

The previous prime is 9030839. The next prime is 9030851. The reversal of 9030840 is 480309.

It is a super-2 number, since 2×90308402 = 163112142211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 9030840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10507 + ... + 11333.

It is an arithmetic number, because the mean of its divisors is an integer number (260820).

Almost surely, 29030840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9030840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692480).

9030840 is an abundant number, since it is smaller than the sum of its proper divisors (24354120).

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

9030840 is a wasteful number, since it uses less digits than its factorization.

9030840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 9030840 is about 3005.1356042615. The cubic root of 9030840 is about 208.2457032347.

It can be divided in two parts, 9030 and 840, that added together give a triangular number (9870 = T140).

The spelling of 9030840 in words is "nine million, thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 827 840 910 1092 1365 1560 1654 1820 2184 2481 2730 3308 3640 4135 4962 5460 5789 6616 8270 9924 10751 10920 11578 12405 16540 17367 19848 21502 23156 24810 28945 32253 33080 34734 43004 46312 49620 53755 57890 64506 69468 75257 86008 86835 99240 107510 115780 129012 138936 150514 161265 173670 215020 225771 231560 258024 301028 322530 347340 376285 430040 451542 602056 645060 694680 752570 903084 1128855 1290120 1505140 1806168 2257710 3010280 4515420 9030840