Search a number
-
+
11724028360 = 23511297112941
BaseRepresentation
bin10101110101100111…
…00111100111001000
31010021001211100102121
422322303213213020
5143002322401420
65215210341024
7563350411462
oct127263474710
933231740377
1011724028360
114a769aa040
12233242a774
13114ac2a8b5
147d3101132
1548940b2aa
hex2bace79c8

11724028360 has 128 divisors (see below), whose sum is σ = 30191097600. Its totient is φ = 4057984000.

The previous prime is 11724028343. The next prime is 11724028361. The reversal of 11724028360 is 6382042711.

It is not an unprimeable number, because it can be changed into a prime (11724028361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899490 + ... + 912430.

It is an arithmetic number, because the mean of its divisors is an integer number (235867950).

Almost surely, 211724028360 is an apocalyptic number.

11724028360 is a gapful number since it is divisible by the number (10) 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 11724028360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095548800).

11724028360 is an abundant number, since it is smaller than the sum of its proper divisors (18467069240).

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

11724028360 is a wasteful number, since it uses less digits than its factorization.

11724028360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13063 (or 13059 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 11724028360 in words is "eleven billion, seven hundred twenty-four million, twenty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 71 88 110 116 142 145 220 232 284 290 319 355 440 568 580 638 710 781 1160 1276 1420 1562 1595 2059 2552 2840 3124 3190 3905 4118 6248 6380 7810 8236 10295 12760 12941 15620 16472 20590 22649 25882 31240 41180 45298 51764 64705 82360 90596 103528 113245 129410 142351 181192 226490 258820 284702 375289 452980 517640 569404 711755 750578 905960 918811 1138808 1423510 1501156 1837622 1876445 2847020 3002312 3675244 3752890 4128179 4594055 5694040 7350488 7505780 8256358 9188110 10106921 15011560 16512716 18376220 20213842 20640895 26645519 33025432 36752440 40427684 41281790 50534605 53291038 80855368 82563580 101069210 106582076 133227595 165127160 202138420 213164152 266455190 293100709 404276840 532910380 586201418 1065820760 1172402836 1465503545 2344805672 2931007090 5862014180 11724028360