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1130000000 = 2757113
BaseRepresentation
bin100001101011010…
…0110111010000000
32220202021221120212
41003112212322000
54303240000000
6304043453252
740000561433
oct10326467200
92822257525
101130000000
1152a9457a8
12276527228
1315015596c
14aa10b81a
156930ec35
hex435a6e80

1130000000 has 128 divisors (see below), whose sum is σ = 2838859920. Its totient is φ = 448000000.

The previous prime is 1129999999. The next prime is 1130000009. The reversal of 1130000000 is 311.

It can be written as a sum of positive squares in 8 ways, for example, as 1128422464 + 1577536 = 33592^2 + 1256^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1130000009) 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 15 ways as a sum of consecutive naturals, for example, 9999944 + ... + 10000056.

Almost surely, 21130000000 is an apocalyptic number.

1130000000 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 1130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419429960).

1130000000 is an abundant number, since it is smaller than the sum of its proper divisors (1708859920).

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

1130000000 is an frugal number, since it uses more digits than its factorization.

1130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 1130000000 is about 33615.4726279432. The cubic root of 1130000000 is about 1041.5804373066.

Adding to 1130000000 its reverse (311), we get a palindrome (1130000311).

The spelling of 1130000000 in words is "one billion, one hundred thirty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 125 128 160 200 226 250 320 400 452 500 565 625 640 800 904 1000 1130 1250 1600 1808 2000 2260 2500 2825 3125 3200 3616 4000 4520 5000 5650 6250 7232 8000 9040 10000 11300 12500 14125 14464 15625 16000 18080 20000 22600 25000 28250 31250 36160 40000 45200 50000 56500 62500 70625 72320 78125 80000 90400 100000 113000 125000 141250 156250 180800 200000 226000 250000 282500 312500 353125 361600 400000 452000 500000 565000 625000 706250 904000 1000000 1130000 1250000 1412500 1765625 1808000 2000000 2260000 2500000 2825000 3531250 4520000 5000000 5650000 7062500 8828125 9040000 10000000 11300000 14125000 17656250 22600000 28250000 35312500 45200000 56500000 70625000 113000000 141250000 226000000 282500000 565000000 1130000000