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1073089056 = 253133127737
BaseRepresentation
bin111111111101100…
…000101000100000
32202210012120110010
4333331200220200
54144202322211
6254252004520
735410051344
oct7775405040
92683176403
101073089056
11500804766
1225b460740
1314141aa50
14a2735624
156431c4a6
hex3ff60a20

1073089056 has 96 divisors (see below), whose sum is σ = 3131509248. Its totient is φ = 319518720.

The previous prime is 1073089033. The next prime is 1073089067. The reversal of 1073089056 is 6509803701.

1073089056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10730890562 = 2303040244213942272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24820 + ... + 52556.

It is an arithmetic number, because the mean of its divisors is an integer number (32619888).

Almost surely, 21073089056 is an apocalyptic number.

1073089056 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 1073089056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565754624).

1073089056 is an abundant number, since it is smaller than the sum of its proper divisors (2058420192).

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

1073089056 is a wasteful number, since it uses less digits than its factorization.

1073089056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27794 (or 27786 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1073089056 is about 32758.0380364881. The cubic root of 1073089056 is about 1023.7924485762.

The spelling of 1073089056 in words is "one billion, seventy-three million, eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 27737 38688 55474 83211 110948 166422 221896 332844 360581 443792 665688 721162 859847 887584 1081743 1331376 1442324 1719694 2163486 2579541 2662752 2884648 3439388 4326972 5159082 5769296 6878776 8653944 10318164 11178011 11538592 13757552 17307888 20636328 22356022 27515104 33534033 34615776 41272656 44712044 67068066 82545312 89424088 134136132 178848176 268272264 357696352 536544528 1073089056