Search a number
-
+
5380061440 = 285132911149
BaseRepresentation
bin1010000001010110…
…10011100100000000
3111212221112102211211
411000223103210000
542004243431230
62245505215504
7250215524215
oct50053234400
914787472754
105380061440
1123109a4876
121061931594
1367980ba10
14390755b0c
152174cc42a
hex140ad3900

5380061440 has 144 divisors (see below), whose sum is σ = 14358078000. Its totient is φ = 1917812736.

The previous prime is 5380061437. The next prime is 5380061441. The reversal of 5380061440 is 441600835.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 648822784 + 4731238656 = 25472^2 + 68784^2 .

It is a super-2 number, since 2×53800614402 = 57890122196349747200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5380061441) by changing a digit.

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, 476986 + ... + 488134.

It is an arithmetic number, because the mean of its divisors is an integer number (99708875).

Almost surely, 25380061440 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 5380061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179039000).

5380061440 is an abundant number, since it is smaller than the sum of its proper divisors (8978016560).

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

5380061440 is a wasteful number, since it uses less digits than its factorization.

5380061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11198 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 5380061440 is about 73348.9021049395. The cubic root of 5380061440 is about 1752.2486945672.

The spelling of 5380061440 in words is "five billion, three hundred eighty million, sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 128 130 145 160 208 232 256 260 290 320 377 416 464 520 580 640 754 832 928 1040 1160 1280 1508 1664 1856 1885 2080 2320 3016 3328 3712 3770 4160 4640 6032 7424 7540 8320 9280 11149 12064 15080 16640 18560 22298 24128 30160 37120 44596 48256 55745 60320 89192 96512 111490 120640 144937 178384 222980 241280 289874 323321 356768 445960 482560 579748 646642 713536 724685 891920 1159496 1293284 1427072 1449370 1616605 1783840 2318992 2586568 2854144 2898740 3233210 3567680 4203173 4637984 5173136 5797480 6466420 7135360 8406346 9275968 10346272 11594960 12932840 14270720 16812692 18551936 20692544 21015865 23189920 25865680 33625384 37103872 41385088 42031730 46379840 51731360 67250768 82770176 84063460 92759680 103462720 134501536 168126920 185519360 206925440 269003072 336253840 413850880 538006144 672507680 1076012288 1345015360 2690030720 5380061440