Search a number
-
+
1106250240 = 2935294967
BaseRepresentation
bin100000111110000…
…0000101000000000
32212002121100001010
41001330000220000
54231200001430
6301434440520
736261654234
oct10174005000
92762540033
101106250240
115184a41a7
1226a593140
1314825b854
14a6cc85c4
15671bccb0
hex41f00a00

1106250240 has 160 divisors (see below), whose sum is σ = 3659230080. Its totient is φ = 284770304.

The previous prime is 1106250239. The next prime is 1106250253. The reversal of 1106250240 is 420526011.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220237 + ... + 225203.

It is an arithmetic number, because the mean of its divisors is an integer number (22870188).

Almost surely, 21106250240 is an apocalyptic number.

1106250240 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 1106250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829615040).

1106250240 is an abundant number, since it is smaller than the sum of its proper divisors (2552979840).

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

1106250240 is an equidigital number, since it uses as much as digits as its factorization.

1106250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1106250240 is about 33260.3403470259. The cubic root of 1106250240 is about 1034.2315750731.

Adding to 1106250240 its reverse (420526011), we get a palindrome (1526776251).

The spelling of 1106250240 in words is "one billion, one hundred six million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 870 928 960 1160 1280 1392 1536 1740 1856 1920 2320 2560 2784 3480 3712 3840 4640 4967 5568 6960 7424 7680 9280 9934 11136 13920 14848 14901 18560 19868 22272 24835 27840 29802 37120 39736 44544 49670 55680 59604 74240 74505 79472 99340 111360 119208 144043 149010 158944 198680 222720 238416 288086 298020 317888 397360 432129 476832 576172 596040 635776 720215 794720 864258 953664 1152344 1192080 1271552 1440430 1589440 1728516 1907328 2160645 2304688 2384160 2543104 2880860 3178880 3457032 3814656 4321290 4609376 4768320 5761720 6357760 6914064 7629312 8642580 9218752 9536640 11523440 12715520 13828128 17285160 18437504 19073280 23046880 27656256 34570320 36875008 38146560 46093760 55312512 69140640 73750016 92187520 110625024 138281280 184375040 221250048 276562560 368750080 553125120 1106250240