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1081085256 = 233219241593
BaseRepresentation
bin100000001110000…
…0000110101001000
32210100020211011200
41000130000311020
54203224212011
6255135224200
735535034026
oct10034006510
92710224150
101081085256
11505276399
12262078060
13142c8a524
14a3817716
1564d9b856
hex40700d48

1081085256 has 72 divisors (see below), whose sum is σ = 3090226230. Its totient is φ = 341387136.

The previous prime is 1081085197. The next prime is 1081085281. The reversal of 1081085256 is 6525801801.

It can be written as a sum of positive squares in only one way, i.e., 1026177156 + 54908100 = 32034^2 + 7410^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1081085256.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5196 + ... + 46788.

Almost surely, 21081085256 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 1081085256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545113115).

1081085256 is an abundant number, since it is smaller than the sum of its proper divisors (2009140974).

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

1081085256 is a wasteful number, since it uses less digits than its factorization.

1081085256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41643 (or 41617 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1081085256 is about 32879.8609486111. The cubic root of 1081085256 is about 1026.3291125255.

The spelling of 1081085256 in words is "one billion, eighty-one million, eighty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 4332 6498 8664 12996 25992 41593 83186 124779 166372 249558 332744 374337 499116 748674 790267 998232 1497348 1580534 2370801 2994696 3161068 4741602 6322136 7112403 9483204 14224806 15015073 18966408 28449612 30030146 45045219 56899224 60060292 90090438 120120584 135135657 180180876 270271314 360361752 540542628 1081085256