Search a number
-
+
561403136 = 2872353257
BaseRepresentation
bin100001011101100…
…101010100000000
31110010101020022202
4201131211110000
52122204400021
6131412452332
716624563560
oct4135452400
91403336282
10561403136
11268996538
1213801a0a8
138c403908
14547bada0
1534446a0b
hex21765500

561403136 has 144 divisors (see below), whose sum is σ = 1366896384. Its totient is φ = 224919552.

The previous prime is 561403111. The next prime is 561403163. The reversal of 561403136 is 631304165.

It is a happy number.

It is a super-2 number, since 2×5614031362 = 630346962221268992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 561403099 and 561403108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2184320 + ... + 2184576.

It is an arithmetic number, because the mean of its divisors is an integer number (9492336).

Almost surely, 2561403136 is an apocalyptic number.

561403136 is a gapful number since it is divisible by the number (56) 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 561403136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683448192).

561403136 is an abundant number, since it is smaller than the sum of its proper divisors (805493248).

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

561403136 is a wasteful number, since it uses less digits than its factorization.

561403136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 561403136 is about 23693.9472439693. The cubic root of 561403136 is about 824.9449052892.

The spelling of 561403136 in words is "five hundred sixty-one million, four hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 53 56 64 92 106 112 128 161 184 212 224 256 257 322 368 371 424 448 514 644 736 742 848 896 1028 1219 1288 1472 1484 1696 1792 1799 2056 2438 2576 2944 2968 3392 3598 4112 4876 5152 5888 5911 5936 6784 7196 8224 8533 9752 10304 11822 11872 13568 13621 14392 16448 17066 19504 20608 23644 23744 27242 28784 32896 34132 39008 41216 41377 47288 47488 54484 57568 65792 68264 78016 82754 94576 94976 95347 108968 115136 136528 156032 165508 189152 190694 217936 230272 273056 312064 313283 331016 378304 381388 435872 460544 546112 626566 662032 756608 762776 871744 1092224 1253132 1324064 1513216 1525552 1743488 2184448 2192981 2506264 2648128 3051104 3486976 4385962 5012528 5296256 6102208 8771924 10025056 10592512 12204416 17543848 20050112 24408832 35087696 40100224 70175392 80200448 140350784 280701568 561403136