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1056145704 = 233194361883
BaseRepresentation
bin111110111100111…
…000000100101000
32201121022202112120
4332330320010220
54130333130304
6252444511240
735113042665
oct7674700450
92647282476
101056145704
114a2191999
1225584b520
1313aa679b3
14a03a4a6c
1562ac20d9
hex3ef38128

1056145704 has 128 divisors (see below), whose sum is σ = 2893862400. Its totient is φ = 320060160.

The previous prime is 1056145703. The next prime is 1056145721. The reversal of 1056145704 is 4075416501.

1056145704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10561457042 = 2230887496155311232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056145703) 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, 1195647 + ... + 1196529.

It is an arithmetic number, because the mean of its divisors is an integer number (22608300).

Almost surely, 21056145704 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 1056145704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446931200).

1056145704 is an abundant number, since it is smaller than the sum of its proper divisors (1837716696).

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

1056145704 is a wasteful number, since it uses less digits than its factorization.

1056145704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1056145704 is about 32498.3954065428. The cubic root of 1056145704 is about 1018.3755071824.

It can be divided in two parts, 10561 and 45704, that added together give a palindrome (56265).

The spelling of 1056145704 in words is "one billion, fifty-six million, one hundred forty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 61 76 86 114 122 129 152 172 183 228 244 258 344 366 456 488 516 732 817 883 1032 1159 1464 1634 1766 2318 2451 2623 2649 3268 3477 3532 4636 4902 5246 5298 6536 6954 7064 7869 9272 9804 10492 10596 13908 15738 16777 19608 20984 21192 27816 31476 33554 37969 49837 50331 53863 62952 67108 75938 99674 100662 107726 113907 134216 149511 151876 161589 199348 201324 215452 227814 299022 303752 323178 398696 402648 430904 455628 598044 646356 721411 911256 1023397 1196088 1292712 1442822 2046794 2164233 2316109 2885644 3070191 4093588 4328466 4632218 5771288 6140382 6948327 8187176 8656932 9264436 12280764 13896654 17313864 18528872 24561528 27793308 44006071 55586616 88012142 132018213 176024284 264036426 352048568 528072852 1056145704