Search a number
-
+
985383900 = 2233521632239
BaseRepresentation
bin111010101110111…
…100001111011100
32112200011200121000
4322232330033130
54004224241100
6241440110300
733263424234
oct7256741734
92480150530
10985383900
11466250566
12236005390
131291c04c7
1494c24cc4
155b795900
hex3abbc3dc

985383900 has 144 divisors (see below), whose sum is σ = 3188684800. Its totient is φ = 261040320.

The previous prime is 985383899. The next prime is 985383923. The reversal of 985383900 is 9383589.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438981 + ... + 441219.

Almost surely, 2985383900 is an apocalyptic number.

985383900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985383900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594342400).

985383900 is an abundant number, since it is smaller than the sum of its proper divisors (2203300900).

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

985383900 is a wasteful number, since it uses less digits than its factorization.

985383900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 985383900 is about 31390.8250926923. The cubic root of 985383900 is about 995.1040353160.

The spelling of 985383900 in words is "nine hundred eighty-five million, three hundred eighty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 163 180 225 270 300 326 450 489 540 652 675 815 900 978 1350 1467 1630 1956 2239 2445 2700 2934 3260 4075 4401 4478 4890 5868 6717 7335 8150 8802 8956 9780 11195 12225 13434 14670 16300 17604 20151 22005 22390 24450 26868 29340 33585 36675 40302 44010 44780 48900 55975 60453 67170 73350 80604 88020 100755 110025 111950 120906 134340 146700 167925 201510 220050 223900 241812 302265 335850 364957 403020 440100 503775 604530 671700 729914 1007550 1094871 1209060 1459828 1511325 1824785 2015100 2189742 3022650 3284613 3649570 4379484 5474355 6045300 6569226 7299140 9123925 9853839 10948710 13138452 16423065 18247850 19707678 21897420 27371775 32846130 36495700 39415356 49269195 54743550 65692260 82115325 98538390 109487100 164230650 197076780 246345975 328461300 492691950 985383900