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1135343000 = 2353113853
BaseRepresentation
bin100001110101011…
…1111010110011000
32221010100101210202
41003222333112120
54311121434000
6304354201332
740064153621
oct10352772630
92833311722
101135343000
11532965000
12278283248
131512a68bc
14aaadca48
1569a17dd5
hex43abf598

1135343000 has 128 divisors (see below), whose sum is σ = 2925599040. Its totient is φ = 412368000.

The previous prime is 1135342961. The next prime is 1135343003. The reversal of 1135343000 is 3435311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135343003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1330574 + ... + 1331426.

Almost surely, 21135343000 is an apocalyptic number.

1135343000 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 1135343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462799520).

1135343000 is an abundant number, since it is smaller than the sum of its proper divisors (1790256040).

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

1135343000 is an equidigital number, since it uses as much as digits as its factorization.

1135343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1135343000 is about 33694.8512387279. The cubic root of 1135343000 is about 1043.2194980603.

Adding to 1135343000 its reverse (3435311), we get a palindrome (1138778311).

The spelling of 1135343000 in words is "one billion, one hundred thirty-five million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 853 968 1000 1100 1210 1331 1375 1706 2200 2420 2662 2750 3025 3412 4265 4840 5324 5500 6050 6655 6824 8530 9383 10648 11000 12100 13310 15125 17060 18766 21325 24200 26620 30250 33275 34120 37532 42650 46915 53240 60500 66550 75064 85300 93830 103213 106625 121000 133100 166375 170600 187660 206426 213250 234575 266200 332750 375320 412852 426500 469150 516065 665500 825704 853000 938300 1032130 1135343 1172875 1331000 1876600 2064260 2270686 2345750 2580325 4128520 4541372 4691500 5160650 5676715 9082744 9383000 10321300 11353430 12901625 20642600 22706860 25803250 28383575 45413720 51606500 56767150 103213000 113534300 141917875 227068600 283835750 567671500 1135343000