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1085069336 = 2313172921163
BaseRepresentation
bin100000010101100…
…1101100000011000
32210121202020022012
41000223031200120
54210234204321
6255400445052
735613636311
oct10053154030
92717666265
101085069336
1150754771a
12263479788
13143a53a80
14a4173608
15653d705b
hex40acd818

1085069336 has 64 divisors (see below), whose sum is σ = 2399997600. Its totient is φ = 455067648.

The previous prime is 1085069333. The next prime is 1085069339. The reversal of 1085069336 is 6339605801.

It is an interprime number because it is at equal distance from previous prime (1085069333) and next prime (1085069339).

It is a junction number, because it is equal to n+sod(n) for n = 1085069293 and 1085069302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085069333) 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 15 ways as a sum of consecutive naturals, for example, 40691 + ... + 61853.

Almost surely, 21085069336 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 1085069336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199998800).

1085069336 is an abundant number, since it is smaller than the sum of its proper divisors (1314928264).

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

1085069336 is a wasteful number, since it uses less digits than its factorization.

1085069336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21228 (or 21224 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 1085069336 is about 32940.3906473496. The cubic root of 1085069336 is about 1027.5883300711.

The spelling of 1085069336 in words is "one billion, eighty-five million, sixty-nine thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 17 26 29 34 52 58 68 104 116 136 221 232 377 442 493 754 884 986 1508 1768 1972 3016 3944 6409 12818 21163 25636 42326 51272 84652 169304 275119 359771 550238 613727 719542 1100476 1227454 1439084 2200952 2454908 2878168 4677023 4909816 7978451 9354046 10433359 15956902 18708092 20866718 31913804 37416184 41733436 63827608 83466872 135633667 271267334 542534668 1085069336