Search a number
-
+
5562005040 = 243258279341
BaseRepresentation
bin1010010111000010…
…10111011000110000
3112100121220010112200
411023201113120300
542342333130130
62315525023200
7254555156064
oct51341273060
915317803480
105562005040
1123a4674789
1210b2854b00
136a8413457
143aa997aa4
1522846b760
hex14b857630

5562005040 has 120 divisors (see below), whose sum is σ = 18703655568. Its totient is φ = 1481249280.

The previous prime is 5562005017. The next prime is 5562005069. The reversal of 5562005040 is 405002655.

5562005040 is a `hidden beast` number, since 556 + 20 + 0 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 5562004995 and 5562005013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590770 + ... + 600110.

Almost surely, 25562005040 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 5562005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9351827784).

5562005040 is an abundant number, since it is smaller than the sum of its proper divisors (13141650528).

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

5562005040 is a wasteful number, since it uses less digits than its factorization.

5562005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10187 (or 10178 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5562005040 is about 74578.8511576841. The cubic root of 5562005040 is about 1771.7827102533.

Adding to 5562005040 its reverse (405002655), we get a palindrome (5967007695).

The spelling of 5562005040 in words is "five billion, five hundred sixty-two million, five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 827 1654 2481 3308 4135 4962 6616 7443 8270 9341 9924 12405 13232 14886 16540 18682 19848 24810 28023 29772 33080 37215 37364 39696 46705 49620 56046 59544 66160 74430 74728 84069 93410 99240 112092 119088 140115 148860 149456 168138 186820 198480 224184 280230 297720 336276 373640 420345 448368 560460 595440 672552 747280 840690 1120920 1345104 1681380 2241840 3362760 6725520 7725007 15450014 23175021 30900028 38625035 46350042 61800056 69525063 77250070 92700084 115875105 123600112 139050126 154500140 185400168 231750210 278100252 309000280 347625315 370800336 463500420 556200504 618000560 695250630 927000840 1112401008 1390501260 1854001680 2781002520 5562005040