Search a number
-
+
1109528064 = 293383967
BaseRepresentation
bin100001000100010…
…0000111000000000
32212022202212101000
41002020200320000
54233014344224
6302033012000
736331555461
oct10210407000
92768685330
101109528064
1151a332947
1226b6b4000
13148b387a8
14a74dcd68
15676190c9
hex42220e00

1109528064 has 160 divisors (see below), whose sum is σ = 3327287040. Its totient is φ = 365008896.

The previous prime is 1109528039. The next prime is 1109528089. The reversal of 1109528064 is 4608259011.

It is an interprime number because it is at equal distance from previous prime (1109528039) and next prime (1109528089).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146909 + ... + 1147875.

It is an arithmetic number, because the mean of its divisors is an integer number (20795544).

Almost surely, 21109528064 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 1109528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663643520).

1109528064 is an abundant number, since it is smaller than the sum of its proper divisors (2217758976).

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

1109528064 is an frugal number, since it uses more digits than its factorization.

1109528064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1109528064 is about 33309.5791627574. The cubic root of 1109528064 is about 1035.2520453167.

The spelling of 1109528064 in words is "one billion, one hundred nine million, five hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 216 249 256 288 332 384 432 498 512 576 664 747 768 864 967 996 1152 1328 1494 1536 1728 1934 1992 2241 2304 2656 2901 2988 3456 3868 3984 4482 4608 5312 5802 5976 6912 7736 7968 8703 8964 10624 11604 11952 13824 15472 15936 17406 17928 21248 23208 23904 26109 30944 31872 34812 35856 42496 46416 47808 52218 61888 63744 69624 71712 80261 92832 95616 104436 123776 127488 139248 143424 160522 185664 191232 208872 240783 247552 278496 286848 321044 371328 382464 417744 481566 495104 556992 573696 642088 722349 742656 835488 963132 1113984 1147392 1284176 1444698 1485312 1670976 1926264 2167047 2227968 2568352 2889396 3341952 3852528 4334094 4455936 5136704 5778792 6683904 7705056 8668188 10273408 11557584 13367808 15410112 17336376 20546816 23115168 30820224 34672752 41093632 46230336 61640448 69345504 92460672 123280896 138691008 184921344 277382016 369842688 554764032 1109528064