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1130144200 = 235216334667
BaseRepresentation
bin100001101011100…
…1010000111001000
32220202120021101121
41003113022013020
54303304103300
6304050525024
740002032023
oct10327120710
92822507347
101130144200
1152aa34079
12276596774
131501a64a3
14aa1481ba
156933c81a
hex435ca1c8

1130144200 has 48 divisors (see below), whose sum is σ = 2643781680. Its totient is φ = 449271360.

The previous prime is 1130144179. The next prime is 1130144201. The reversal of 1130144200 is 24410311.

It is not an unprimeable number, because it can be changed into a prime (1130144201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15267 + ... + 49933.

It is an arithmetic number, because the mean of its divisors is an integer number (55078785).

Almost surely, 21130144200 is an apocalyptic number.

1130144200 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 1130144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321890840).

1130144200 is an abundant number, since it is smaller than the sum of its proper divisors (1513637480).

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

1130144200 is a wasteful number, since it uses less digits than its factorization.

1130144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34846 (or 34837 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1130144200 is about 33617.6174051642. The cubic root of 1130144200 is about 1041.6247409970.

Adding to 1130144200 its reverse (24410311), we get a palindrome (1154554511).

The spelling of 1130144200 in words is "one billion, one hundred thirty million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 815 1304 1630 3260 4075 6520 8150 16300 32600 34667 69334 138668 173335 277336 346670 693340 866675 1386680 1733350 3466700 5650721 6933400 11301442 22602884 28253605 45205768 56507210 113014420 141268025 226028840 282536050 565072100 1130144200