Search a number
-
+
560705152 = 27717131281
BaseRepresentation
bin100001011010111…
…010111010000000
31110002001202212111
4201122322322000
52122020031102
6131345505104
716615625620
oct4132727200
91402052774
10560705152
1126855a097
12137942194
138c21acc7
1454678880
1534359cd7
hex216bae80

560705152 has 128 divisors (see below), whose sum is σ = 1366865280. Its totient is φ = 223641600.

The previous prime is 560705147. The next prime is 560705161. The reversal of 560705152 is 251507065.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1995252 + ... + 1995532.

It is an arithmetic number, because the mean of its divisors is an integer number (10678635).

Almost surely, 2560705152 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 560705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683432640).

560705152 is an abundant number, since it is smaller than the sum of its proper divisors (806160128).

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

560705152 is a wasteful number, since it uses less digits than its factorization.

560705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 31.

The square root of 560705152 is about 23679.2135004522. The cubic root of 560705152 is about 824.6028830121.

The spelling of 560705152 in words is "five hundred sixty million, seven hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 131 136 224 238 262 272 281 448 476 524 544 562 896 917 952 1048 1088 1124 1834 1904 1967 2096 2176 2227 2248 3668 3808 3934 4192 4454 4496 4777 7336 7616 7868 8384 8908 8992 9554 14672 15232 15589 15736 16768 17816 17984 19108 29344 31178 31472 33439 35632 35968 36811 38216 58688 62356 62944 66878 71264 73622 76432 117376 124712 125888 133756 142528 147244 152864 249424 251776 257677 267512 285056 294488 305728 498848 515354 535024 588976 611456 625787 997696 1030708 1070048 1177952 1251574 1995392 2061416 2140096 2355904 2503148 4122832 4280192 4380509 4711808 5006296 8245664 8761018 10012592 16491328 17522036 20025184 32982656 35044072 40050368 70088144 80100736 140176288 280352576 560705152