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1086832068 = 2237131283349
BaseRepresentation
bin100000011000111…
…1011110111000100
32210202001210022120
41000301323313010
54211212111233
6255502325540
735634630420
oct10061736704
92722053276
101086832068
11508541023
12263b898b0
131442201ca
14a44b1b80
15656344b3
hex40c7bdc4

1086832068 has 96 divisors (see below), whose sum is σ = 2939059200. Its totient is φ = 306184320.

The previous prime is 1086832067. The next prime is 1086832081. The reversal of 1086832068 is 8602386801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1086832067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3113958 + ... + 3114306.

It is an arithmetic number, because the mean of its divisors is an integer number (30615200).

Almost surely, 21086832068 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 1086832068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469529600).

1086832068 is an abundant number, since it is smaller than the sum of its proper divisors (1852227132).

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

1086832068 is a wasteful number, since it uses less digits than its factorization.

1086832068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1086832068 is about 32967.1361813549. The cubic root of 1086832068 is about 1028.1444797361.

The spelling of 1086832068 in words is "one billion, eighty-six million, eight hundred thirty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 283 349 393 524 566 698 786 849 917 1047 1132 1396 1572 1698 1834 1981 2094 2443 2751 3396 3668 3962 4188 4886 5502 5943 7329 7924 9772 11004 11886 14658 23772 29316 37073 45719 74146 91438 98767 111219 137157 148292 182876 197534 222438 259511 274314 296301 320033 395068 444876 519022 548628 592602 640066 691369 778533 960099 1038044 1185204 1280132 1382738 1557066 1920198 2074107 2765476 3114132 3840396 4148214 8296428 12938477 25876954 38815431 51753908 77630862 90569339 155261724 181138678 271708017 362277356 543416034 1086832068