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1085762340 = 2233513154667
BaseRepresentation
bin100000010110111…
…0110101100100100
32210200001102221000
41000231312230210
54210423343330
6255423353300
735622553605
oct10055665444
92720042830
101085762340
11507980353
12263752830
13143c37330
14a42b3dac
15654c2560
hex40b76b24

1085762340 has 96 divisors (see below), whose sum is σ = 3637791360. Its totient is φ = 267262848.

The previous prime is 1085762339. The next prime is 1085762351. The reversal of 1085762340 is 432675801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1085762295 and 1085762304.

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, 70314 + ... + 84353.

It is an arithmetic number, because the mean of its divisors is an integer number (37893660).

Almost surely, 21085762340 is an apocalyptic number.

1085762340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085762340 is an abundant number, since it is smaller than the sum of its proper divisors (2552029020).

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

1085762340 is a wasteful number, since it uses less digits than its factorization.

1085762340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154698 (or 154690 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1085762340 is about 32950.9080299770. The cubic root of 1085762340 is about 1027.8070476679.

The spelling of 1085762340 in words is "one billion, eighty-five million, seven hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 154667 309334 464001 618668 773335 928002 1392003 1546670 1856004 2010671 2320005 2784006 3093340 4021342 4176009 4640010 5568012 6032013 6960015 8042684 8352018 9280020 10053355 12064026 13920030 16704036 18096039 20106710 20880045 24128052 27840060 30160065 36192078 40213420 41760090 54288117 60320130 72384156 83520180 90480195 108576234 120640260 180960390 217152468 271440585 361920780 542881170 1085762340