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1083995856 = 243253173821
BaseRepresentation
bin100000010011100…
…0111011011010000
32210112201200202200
41000213013123100
54210000331411
6255321443200
735601545526
oct10047073320
92715650680
101083995856
11506984149
12263040500
13143769288
14a3d74316
1565273e56
hex409c76d0

1083995856 has 120 divisors (see below), whose sum is σ = 3112575336. Its totient is φ = 352035840.

The previous prime is 1083995851. The next prime is 1083995863. The reversal of 1083995856 is 6585993801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 375584400 + 708411456 = 19380^2 + 26616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083995851) 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 23 ways as a sum of consecutive naturals, for example, 1319926 + ... + 1320746.

Almost surely, 21083995856 is an apocalyptic number.

1083995856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083995856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556287668).

1083995856 is an abundant number, since it is smaller than the sum of its proper divisors (2028579480).

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

1083995856 is a wasteful number, since it uses less digits than its factorization.

1083995856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 1083995856 is about 32924.0923337303. The cubic root of 1083995856 is about 1027.2493472814.

The spelling of 1083995856 in words is "one billion, eighty-three million, nine hundred ninety-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 173 212 318 346 424 477 519 636 692 821 848 954 1038 1272 1384 1557 1642 1908 2076 2463 2544 2768 3114 3284 3816 4152 4926 6228 6568 7389 7632 8304 9169 9852 12456 13136 14778 18338 19704 24912 27507 29556 36676 39408 43513 55014 59112 73352 82521 87026 110028 118224 130539 142033 146704 165042 174052 220056 261078 284066 330084 348104 391617 426099 440112 522156 568132 660168 696208 783234 852198 1044312 1136264 1278297 1320336 1566468 1704396 2088624 2272528 2556594 3132936 3408792 5113188 6265872 6817584 7527749 10226376 15055498 20452752 22583247 30110996 45166494 60221992 67749741 90332988 120443984 135499482 180665976 270998964 361331952 541997928 1083995856