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1133202320 = 245178310039
BaseRepresentation
bin100001110001011…
…0100101110010000
32220222022122100022
41003202310232100
54310044433240
6304240243012
740040026565
oct10342645620
92828278308
101133202320
11531732748
12277610468
13150a07423
14aa70286c
15697439b5
hex438b4b90

1133202320 has 80 divisors (see below), whose sum is σ = 2823569280. Its totient is φ = 421435392.

The previous prime is 1133202319. The next prime is 1133202359. The reversal of 1133202320 is 232023311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

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 15 ways as a sum of consecutive naturals, for example, 107861 + ... + 117899.

It is an arithmetic number, because the mean of its divisors is an integer number (35294616).

Almost surely, 21133202320 is an apocalyptic number.

1133202320 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 1133202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411784640).

1133202320 is an abundant number, since it is smaller than the sum of its proper divisors (1690366960).

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

1133202320 is a wasteful number, since it uses less digits than its factorization.

1133202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1133202320 is about 33663.0705670175. The cubic root of 1133202320 is about 1042.5634249186.

Adding to 1133202320 its reverse (232023311), we get a palindrome (1365225631).

The spelling of 1133202320 in words is "one billion, one hundred thirty-three million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 83 85 136 166 170 272 332 340 415 664 680 830 1328 1360 1411 1660 2822 3320 5644 6640 7055 10039 11288 14110 20078 22576 28220 40156 50195 56440 80312 100390 112880 160624 170663 200780 341326 401560 682652 803120 833237 853315 1365304 1666474 1706630 2730608 3332948 3413260 4166185 6665896 6826520 8332370 13331792 13653040 14165029 16664740 28330058 33329480 56660116 66658960 70825145 113320232 141650290 226640464 283300580 566601160 1133202320