Search a number
-
+
1156106500 = 225323229439
BaseRepresentation
bin100010011101000…
…1100100100000100
32222120102021222021
41010322030210010
54331430402000
6310415212524
740435512613
oct10472144404
92876367867
101156106500
11543656a1a
12283217144
131556966b3
14ad78587a
156b76a11a
hex44e8c904

1156106500 has 96 divisors (see below), whose sum is σ = 2652249600. Its totient is φ = 439401600.

The previous prime is 1156106453. The next prime is 1156106513. The reversal of 1156106500 is 56016511.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2633281 + ... + 2633719.

It is an arithmetic number, because the mean of its divisors is an integer number (27627600).

Almost surely, 21156106500 is an apocalyptic number.

1156106500 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 1156106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326124800).

1156106500 is an abundant number, since it is smaller than the sum of its proper divisors (1496143100).

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

1156106500 is a wasteful number, since it uses less digits than its factorization.

1156106500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 1156106500 is about 34001.5661404001. The cubic root of 1156106500 is about 1049.5406910228.

The spelling of 1156106500 in words is "one billion, one hundred fifty-six million, one hundred six thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 229 230 250 439 458 460 500 575 878 916 1145 1150 1756 2195 2290 2300 2875 4390 4580 5267 5725 5750 8780 10097 10534 10975 11450 11500 20194 21068 21950 22900 26335 28625 40388 43900 50485 52670 54875 57250 100531 100970 105340 109750 114500 131675 201062 201940 219500 252425 263350 402124 502655 504850 526700 658375 1005310 1009700 1262125 1316750 2010620 2312213 2513275 2524250 2633500 4624426 5026550 5048500 9248852 10053100 11561065 12566375 23122130 25132750 46244260 50265500 57805325 115610650 231221300 289026625 578053250 1156106500