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1085683312 = 24723940559
BaseRepresentation
bin100000010110110…
…0011011001110000
32210122220102112001
41000231203121300
54210413331222
6255421543344
735622104320
oct10055433160
92718812461
101085683312
11507926a3a
12263714b54
13143c0a37c
14a4293280
15654a8e27
hex40b63670

1085683312 has 40 divisors (see below), whose sum is σ = 2414131200. Its totient is φ = 463334592.

The previous prime is 1085683301. The next prime is 1085683327. The reversal of 1085683312 is 2133865801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6489 + ... + 47047.

It is an arithmetic number, because the mean of its divisors is an integer number (60353280).

Almost surely, 21085683312 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 1085683312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207065600).

1085683312 is an abundant number, since it is smaller than the sum of its proper divisors (1328447888).

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

1085683312 is a wasteful number, since it uses less digits than its factorization.

1085683312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40813 (or 40807 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1085683312 is about 32949.7088302765. The cubic root of 1085683312 is about 1027.7821105022.

The spelling of 1085683312 in words is "one billion, eighty-five million, six hundred eighty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 239 478 956 1673 1912 3346 3824 6692 13384 26768 40559 81118 162236 283913 324472 567826 648944 1135652 2271304 4542608 9693601 19387202 38774404 67855207 77548808 135710414 155097616 271420828 542841656 1085683312