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1106760096 = 253213487607
BaseRepresentation
bin100000111110111…
…1101000110100000
32212010120020102200
41001331331012200
54231312310341
6301453413200
736266206551
oct10175750640
92763506380
101106760096
11518812272
1226a79a200
131483a9940
14a6dbc328
156726ddb6
hex41f7d1a0

1106760096 has 144 divisors (see below), whose sum is σ = 3402008064. Its totient is φ = 339282432.

The previous prime is 1106760091. The next prime is 1106760103. The reversal of 1106760096 is 6900676011.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1106760096.

It is not an unprimeable number, because it can be changed into a prime (1106760091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1823025 + ... + 1823631.

It is an arithmetic number, because the mean of its divisors is an integer number (23625056).

Almost surely, 21106760096 is an apocalyptic number.

1106760096 is a gapful number since it is divisible by the number (16) 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 1106760096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701004032).

1106760096 is an abundant number, since it is smaller than the sum of its proper divisors (2295247968).

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

1106760096 is a wasteful number, since it uses less digits than its factorization.

1106760096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1106760096 is about 33268.0040880123. The cubic root of 1106760096 is about 1034.3904385218.

The spelling of 1106760096 in words is "one billion, one hundred six million, seven hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 487 607 624 936 974 1214 1248 1461 1821 1872 1948 2428 2922 3642 3744 3896 4383 4856 5463 5844 6331 7284 7792 7891 8766 9712 10926 11688 12662 14568 15584 15782 17532 18993 19424 21852 23376 23673 25324 29136 31564 35064 37986 43704 46752 47346 50648 56979 58272 63128 70128 71019 75972 87408 94692 101296 113958 126256 140256 142038 151944 174816 189384 202592 227916 252512 284076 295609 303888 378768 455832 568152 591218 607776 757536 886827 911664 1136304 1182436 1773654 1823328 2272608 2364872 2660481 3547308 3842917 4729744 5320962 7094616 7685834 9459488 10641924 11528751 14189232 15371668 21283848 23057502 28378464 30743336 34586253 42567696 46115004 61486672 69172506 85135392 92230008 122973344 138345012 184460016 276690024 368920032 553380048 1106760096