Search a number
-
+
1985109360 = 2435131933487
BaseRepresentation
bin111011001010010…
…0101110101110000
312010100100000002220
41312110211311300
513031141444420
6524551441040
7100123102563
oct16624456560
95110300086
101985109360
119295a7053
12474986180
13258362730
1414b9004da
15b9420840
hex76525d70

1985109360 has 160 divisors (see below), whose sum is σ = 6976220160. Its totient is φ = 462910464.

The previous prime is 1985109349. The next prime is 1985109403. The reversal of 1985109360 is 639015891.

It is a congruent number.

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, 42537 + ... + 76023.

It is an arithmetic number, because the mean of its divisors is an integer number (43601376).

Almost surely, 21985109360 is an apocalyptic number.

1985109360 is a gapful number since it is divisible by the number (10) 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 1985109360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488110080).

1985109360 is an abundant number, since it is smaller than the sum of its proper divisors (4991110800).

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

1985109360 is a wasteful number, since it uses less digits than its factorization.

1985109360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33535 (or 33529 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 1985109360 is about 44554.5660959682. The cubic root of 1985109360 is about 1256.7864190686.

The spelling of 1985109360 in words is "one billion, nine hundred eighty-five million, one hundred nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3705 3952 4560 4940 5928 7410 9880 11856 14820 19760 29640 33487 59280 66974 100461 133948 167435 200922 267896 334870 401844 435331 502305 535792 636253 669740 803688 870662 1004610 1272506 1305993 1339480 1607376 1741324 1908759 2009220 2176655 2545012 2611986 2678960 3181265 3482648 3817518 4018440 4353310 5090024 5223972 6362530 6529965 6965296 7635036 8036880 8271289 8706620 9543795 10180048 10447944 12725060 13059930 15270072 16542578 17413240 19087590 20895888 24813867 25450120 26119860 30540144 33085156 34826480 38175180 41356445 49627734 50900240 52239720 66170312 76350360 82712890 99255468 104479440 124069335 132340624 152700720 165425780 198510936 248138670 330851560 397021872 496277340 661703120 992554680 1985109360