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1085394000 = 24353199521
BaseRepresentation
bin100000010110001…
…1100110001010000
32210122100201122210
41000230130301100
54210330102000
6255411432120
735616460665
oct10054346120
92718321583
101085394000
11507749639
122635b5640
13143b38792
14a4219a6c
156544d350
hex40b1cc50

1085394000 has 160 divisors (see below), whose sum is σ = 3683871360. Its totient is φ = 274176000.

The previous prime is 1085393999. The next prime is 1085394007. The reversal of 1085394000 is 4935801.

It is a super-3 number, since 3×10853940003 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085394007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109240 + ... + 118760.

It is an arithmetic number, because the mean of its divisors is an integer number (23024196).

Almost surely, 21085394000 is an apocalyptic number.

1085394000 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 1085394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841935680).

1085394000 is an abundant number, since it is smaller than the sum of its proper divisors (2598477360).

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

1085394000 is a wasteful number, since it uses less digits than its factorization.

1085394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9566 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1085394000 is about 32945.3183320483. The cubic root of 1085394000 is about 1027.6908082133.

The spelling of 1085394000 in words is "one billion, eighty-five million, three hundred ninety-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 9521 11400 14250 19000 19042 22800 28500 28563 38000 38084 47605 57000 57126 76168 95210 114000 114252 142815 152336 180899 190420 228504 238025 285630 361798 380840 457008 476050 542697 571260 714075 723596 761680 904495 952100 1085394 1142520 1190125 1428150 1447192 1808990 1904200 2170788 2285040 2380250 2713485 2856300 2894384 3570375 3617980 3808400 4341576 4522475 4760500 5426970 5712600 7140750 7235960 8683152 9044950 9521000 10853940 11425200 13567425 14281500 14471920 18089900 19042000 21707880 22612375 27134850 28563000 36179800 43415760 45224750 54269700 57126000 67837125 72359600 90449500 108539400 135674250 180899000 217078800 271348500 361798000 542697000 1085394000