Search a number
-
+
560004400 = 24525961389
BaseRepresentation
bin100001011000001…
…111110100110000
31110000202011121201
4201120033310300
52121330120100
6131322500544
716606646614
oct4130176460
91400664551
10560004400
1126812065a
12137664754
138c034067
1454535344
153426c36a
hex2160fd30

560004400 has 120 divisors (see below), whose sum is σ = 1394218800. Its totient is φ = 216038400.

The previous prime is 560004397. The next prime is 560004409. The reversal of 560004400 is 4400065.

560004400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (560004409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1439406 + ... + 1439794.

It is an arithmetic number, because the mean of its divisors is an integer number (11618490).

Almost surely, 2560004400 is an apocalyptic number.

560004400 is a gapful number since it is divisible by the number (50) 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 560004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697109400).

560004400 is an abundant number, since it is smaller than the sum of its proper divisors (834214400).

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

560004400 is a wasteful number, since it uses less digits than its factorization.

560004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 560004400 is about 23664.4120991839. The cubic root of 560004400 is about 824.2592187245.

Adding to 560004400 its reverse (4400065), we get a palindrome (564404465).

The spelling of 560004400 in words is "five hundred sixty million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 61 80 100 118 122 200 236 244 295 305 389 400 472 488 590 610 778 944 976 1180 1220 1475 1525 1556 1945 2360 2440 2950 3050 3112 3599 3890 4720 4880 5900 6100 6224 7198 7780 9725 11800 12200 14396 15560 17995 19450 22951 23600 23729 24400 28792 31120 35990 38900 45902 47458 57584 71980 77800 89975 91804 94916 114755 118645 143960 155600 179950 183608 189832 229510 237290 287920 359900 367216 379664 459020 474580 573775 593225 719800 918040 949160 1147550 1186450 1400011 1439600 1836080 1898320 2295100 2372900 2800022 4590200 4745800 5600044 7000055 9180400 9491600 11200088 14000110 22400176 28000220 35000275 56000440 70000550 112000880 140001100 280002200 560004400