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1085274936 = 23354312983
BaseRepresentation
bin100000010101111…
…1111101100111000
32210122010200100000
41000223333230320
54210312244221
6255405113000
735615453604
oct10053775470
92718120300
101085274936
11507678139
12263558760
13143ac6525
14a41c8504
1565427e26
hex40affb38

1085274936 has 96 divisors (see below), whose sum is σ = 3119276160. Its totient is φ = 353318112.

The previous prime is 1085274929. The next prime is 1085274937. The reversal of 1085274936 is 6394725801.

1085274936 is a `hidden beast` number, since 108 + 52 + 7 + 493 + 6 = 666.

1085274936 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1085274936 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1085274891 and 1085274900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085274937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77101 + ... + 90083.

It is an arithmetic number, because the mean of its divisors is an integer number (32492460).

It is a 1-persistent number, because it is pandigital, but 2⋅1085274936 = 2170549872 is not.

Almost surely, 21085274936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085274936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559638080).

1085274936 is an abundant number, since it is smaller than the sum of its proper divisors (2034001224).

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

1085274936 is a wasteful number, since it uses less digits than its factorization.

1085274936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13047 (or 13031 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1085274936 is about 32943.5112882643. The cubic root of 1085274936 is about 1027.6532287865.

The spelling of 1085274936 in words is "one billion, eighty-five million, two hundred seventy-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 243 258 324 344 387 486 516 648 774 972 1032 1161 1548 1944 2322 3096 3483 4644 6966 9288 10449 12983 13932 20898 25966 27864 38949 41796 51932 77898 83592 103864 116847 155796 233694 311592 350541 467388 558269 701082 934776 1051623 1116538 1402164 1674807 2103246 2233076 2804328 3154869 3349614 4206492 4466152 5024421 6309738 6699228 8412984 10048842 12619476 13398456 15073263 20097684 25238952 30146526 40195368 45219789 60293052 90439578 120586104 135659367 180879156 271318734 361758312 542637468 1085274936