Search a number
-
+
1085826120 = 233529674657
BaseRepresentation
bin100000010111000…
…0110010001001000
32210200011200102020
41000232012101020
54210432413440
6255425004440
735623240551
oct10056062110
92720150366
101085826120
11507a14265
12263783720
13143c5a382
14a42cd328
15654d63d0
hex40b86448

1085826120 has 128 divisors (see below), whose sum is σ = 3420835200. Its totient is φ = 275337216.

The previous prime is 1085826089. The next prime is 1085826127. The reversal of 1085826120 is 216285801.

It is not an unprimeable number, because it can be changed into a prime (1085826127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230832 + ... + 235488.

It is an arithmetic number, because the mean of its divisors is an integer number (26725275).

Almost surely, 21085826120 is an apocalyptic number.

1085826120 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 1085826120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710417600).

1085826120 is an abundant number, since it is smaller than the sum of its proper divisors (2335009080).

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

1085826120 is a wasteful number, since it uses less digits than its factorization.

1085826120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1085826120 is about 32951.8758191396. The cubic root of 1085826120 is about 1027.8271724679.

The spelling of 1085826120 in words is "one billion, eighty-five million, eight hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 67 87 116 120 134 145 174 201 232 268 290 335 348 402 435 536 580 670 696 804 870 1005 1160 1340 1608 1740 1943 2010 2680 3480 3886 4020 4657 5829 7772 8040 9314 9715 11658 13971 15544 18628 19430 23285 23316 27942 29145 37256 38860 46570 46632 55884 58290 69855 77720 93140 111768 116580 135053 139710 186280 233160 270106 279420 312019 405159 540212 558840 624038 675265 810318 936057 1080424 1248076 1350530 1560095 1620636 1872114 2025795 2496152 2701060 3120190 3241272 3744228 4051590 4680285 5402120 6240380 7488456 8103180 9048551 9360570 12480760 16206360 18097102 18721140 27145653 36194204 37442280 45242755 54291306 72388408 90485510 108582612 135728265 180971020 217165224 271456530 361942040 542913060 1085826120