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1106060000 = 2554291907
BaseRepresentation
bin100000111101101…
…0010001011100000
32212002020200002012
41001323102023200
54231122410000
6301430412052
736260232503
oct10173221340
92762220065
101106060000
11518384281
1226a501028
131481c3096
14a6c7913a
1567181735
hex41ed22e0

1106060000 has 120 divisors (see below), whose sum is σ = 2816379720. Its totient is φ = 426944000.

The previous prime is 1106059987. The next prime is 1106060017. The reversal of 1106060000 is 606011.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 579047 + ... + 580953.

It is an arithmetic number, because the mean of its divisors is an integer number (23469831).

Almost surely, 21106060000 is an apocalyptic number.

1106060000 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 1106060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408189860).

1106060000 is an abundant number, since it is smaller than the sum of its proper divisors (1710319720).

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

1106060000 is an equidigital number, since it uses as much as digits as its factorization.

1106060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1106060000 is about 33257.4803615668. The cubic root of 1106060000 is about 1034.1722866508.

Adding to 1106060000 its reverse (606011), we get a palindrome (1106666011).

The spelling of 1106060000 in words is "one billion, one hundred six million, sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 1907 2000 2320 2500 2900 3625 3814 4000 4640 5000 5800 7250 7628 9535 10000 11600 14500 15256 18125 19070 20000 23200 29000 30512 36250 38140 47675 55303 58000 61024 72500 76280 95350 110606 116000 145000 152560 190700 221212 238375 276515 290000 305120 381400 442424 476750 553030 580000 762800 884848 953500 1106060 1191875 1382575 1525600 1769696 1907000 2212120 2383750 2765150 3814000 4424240 4767500 5530300 6912875 7628000 8848480 9535000 11060600 13825750 19070000 22121200 27651500 34564375 38140000 44242400 55303000 69128750 110606000 138257500 221212000 276515000 553030000 1106060000