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1085768754 = 23721391632
BaseRepresentation
bin100000010110111…
…1000010000110010
32210200001202201120
41000231320100302
54210424100004
6255423443110
735622611400
oct10055702062
92720052646
101085768754
11507985154
12263756496
13143c3a225
14a42b6470
15654c43d9
hex40b78432

1085768754 has 72 divisors (see below), whose sum is σ = 2559952080. Its totient is φ = 306098352.

The previous prime is 1085768753. The next prime is 1085768773. The reversal of 1085768754 is 4578675801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1085768697 and 1085768706.

It is not an unprimeable number, because it can be changed into a prime (1085768753) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6661077 + ... + 6661239.

It is an arithmetic number, because the mean of its divisors is an integer number (35554890).

Almost surely, 21085768754 is an apocalyptic number.

1085768754 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085768754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279976040).

1085768754 is an abundant number, since it is smaller than the sum of its proper divisors (1474183326).

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

1085768754 is a wasteful number, since it uses less digits than its factorization.

1085768754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 51.

The square root of 1085768754 is about 32951.0053564379. The cubic root of 1085768754 is about 1027.8090715428.

The spelling of 1085768754 in words is "one billion, eighty-five million, seven hundred sixty-eight thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 139 147 163 278 294 326 417 489 834 973 978 1141 1946 2282 2919 3423 5838 6811 6846 7987 13622 15974 20433 22657 23961 26569 40866 45314 47922 53138 67971 79707 135942 158599 159414 185983 317198 371966 475797 557949 951594 1110193 1115898 1301881 2220386 2603762 3330579 3693091 3905643 6661158 7386182 7811286 11079273 22158546 25851637 51703274 77554911 155109822 180961459 361922918 542884377 1085768754