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1085699968 = 27171633061
BaseRepresentation
bin100000010110110…
…0111011110000000
32210122221021100221
41000231213132000
54210414344333
6255422152424
735622204013
oct10055473600
92718837327
101085699968
11507938501
12263722714
13143c14b22
14a429937a
15654add2d
hex40b67780

1085699968 has 64 divisors (see below), whose sum is σ = 2304951120. Its totient is φ = 507617280.

The previous prime is 1085699947. The next prime is 1085699969. The reversal of 1085699968 is 8699965801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085699969) by changing a digit.

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, 353158 + ... + 356218.

Almost surely, 21085699968 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 1085699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152475560).

1085699968 is an abundant number, since it is smaller than the sum of its proper divisors (1219251152).

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

1085699968 is a wasteful number, since it uses less digits than its factorization.

1085699968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 61.

The square root of 1085699968 is about 32949.9615781263. The cubic root of 1085699968 is about 1027.7873663784.

The spelling of 1085699968 in words is "one billion, eighty-five million, six hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 163 272 326 544 652 1088 1304 2176 2608 2771 3061 5216 5542 6122 10432 11084 12244 20864 22168 24488 44336 48976 52037 88672 97952 104074 177344 195904 208148 354688 391808 416296 498943 832592 997886 1665184 1995772 3330368 3991544 6660736 7983088 8482031 15966176 16964062 31932352 33928124 63864704 67856248 135712496 271424992 542849984 1085699968