Search a number
-
+
1085053900 = 2252717194799
BaseRepresentation
bin100000010101100…
…1001101111001100
32210121201110010111
41000223021233030
54210233211100
6255400245404
735613543310
oct10053115714
92717643114
101085053900
11507537067
12263470864
13143a49a38
14a416bb40
15653d26ba
hex40ac9bcc

1085053900 has 144 divisors (see below), whose sum is σ = 2999808000. Its totient is φ = 331637760.

The previous prime is 1085053867. The next prime is 1085053901. The reversal of 1085053900 is 93505801.

It is not an unprimeable number, because it can be changed into a prime (1085053901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223701 + ... + 228499.

It is an arithmetic number, because the mean of its divisors is an integer number (20832000).

Almost surely, 21085053900 is an apocalyptic number.

1085053900 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 1085053900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904000).

1085053900 is an abundant number, since it is smaller than the sum of its proper divisors (1914754100).

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

1085053900 is a wasteful number, since it uses less digits than its factorization.

1085053900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 1085053900 is about 32940.1563444984. The cubic root of 1085053900 is about 1027.5834572862.

The spelling of 1085053900 in words is "one billion, eighty-five million, fifty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 17 19 20 25 28 34 35 38 50 68 70 76 85 95 100 119 133 140 170 175 190 238 266 323 340 350 380 425 475 476 532 595 646 665 700 850 950 1190 1292 1330 1615 1700 1900 2261 2380 2660 2975 3230 3325 4522 4799 5950 6460 6650 8075 9044 9598 11305 11900 13300 16150 19196 22610 23995 32300 33593 45220 47990 56525 67186 81583 91181 95980 113050 119975 134372 163166 167965 182362 226100 239950 326332 335930 364724 407915 455905 479900 571081 638267 671860 815830 839825 911810 1142162 1276534 1550077 1631660 1679650 1823620 2039575 2279525 2284324 2553068 2855405 3100154 3191335 3359300 4079150 4559050 5710810 6200308 6382670 7750385 8158300 9118100 10850539 11421620 12765340 14277025 15500770 15956675 21701078 28554050 31001540 31913350 38751925 43402156 54252695 57108100 63826700 77503850 108505390 155007700 217010780 271263475 542526950 1085053900