Search a number
-
+
8985057360 = 2435316191951
BaseRepresentation
bin10000101111000110…
…10001100001010000
3212012011222012120020
420113203101201100
5121400133313420
64043324543440
7435441504336
oct102743214120
925164865506
108985057360
1138a0915644
1218a90b1b80
13b0264aab6
14613445b56
15378c29340
hex2178d1850

8985057360 has 160 divisors (see below), whose sum is σ = 28813393920. Its totient is φ = 2313792000.

The previous prime is 8985057353. The next prime is 8985057397. The reversal of 8985057360 is 637505898.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4604385 + ... + 4606335.

It is an arithmetic number, because the mean of its divisors is an integer number (180083712).

Almost surely, 28985057360 is an apocalyptic number.

8985057360 is a gapful number since it is divisible by the number (80) 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 8985057360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406696960).

8985057360 is an abundant number, since it is smaller than the sum of its proper divisors (19828336560).

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

8985057360 is a wasteful number, since it uses less digits than its factorization.

8985057360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 8985057360 is about 94789.5424611808. The cubic root of 8985057360 is about 2078.9320022617.

The spelling of 8985057360 in words is "eight billion, nine hundred eighty-five million, fifty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 619 620 744 930 1238 1240 1488 1857 1860 1951 2476 2480 3095 3714 3720 3902 4952 5853 6190 7428 7440 7804 9285 9755 9904 11706 12380 14856 15608 18570 19189 19510 23412 24760 29265 29712 31216 37140 38378 39020 46824 49520 57567 58530 60481 74280 76756 78040 93648 95945 115134 117060 120962 148560 153512 156080 181443 191890 230268 234120 241924 287835 302405 307024 362886 383780 460536 468240 483848 575670 604810 725772 767560 907215 921072 967696 1151340 1207669 1209620 1451544 1535120 1814430 2302680 2415338 2419240 2903088 3623007 3628860 4605360 4830676 4838480 6038345 7246014 7257720 9661352 12076690 14492028 14515440 18115035 19322704 24153380 28984056 36230070 37437739 48306760 57968112 72460140 74875478 96613520 112313217 144920280 149750956 187188695 224626434 289840560 299501912 374377390 449252868 561566085 599003824 748754780 898505736 1123132170 1497509560 1797011472 2246264340 2995019120 4492528680 8985057360