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133202320 = 2451665029
BaseRepresentation
bin1111111000010…
…00000110010000
3100021122101020021
413330020012100
5233044433240
621114553224
73205125646
oct774100620
9307571207
10133202320
1169209969
1238738814
132179a254
1413995196
15ba6254a
hex7f08190

133202320 has 20 divisors (see below), whose sum is σ = 309695580. Its totient is φ = 53280896.

The previous prime is 133202291. The next prime is 133202339. The reversal of 133202320 is 23202331.

It can be written as a sum of positive squares in 2 ways, for example, as 42876304 + 90326016 = 6548^2 + 9504^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 133202294 and 133202303.

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 3 ways as a sum of consecutive naturals, for example, 832435 + ... + 832594.

It is an arithmetic number, because the mean of its divisors is an integer number (15484779).

Almost surely, 2133202320 is an apocalyptic number.

133202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133202320 is an abundant number, since it is smaller than the sum of its proper divisors (176493260).

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

133202320 is a wasteful number, since it uses less digits than its factorization.

133202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665042 (or 1665036 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 133202320 is about 11541.3309457792. The cubic root of 133202320 is about 510.7055721718.

Adding to 133202320 its reverse (23202331), we get a palindrome (156404651).

The spelling of 133202320 in words is "one hundred thirty-three million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1665029 3330058 6660116 8325145 13320232 16650290 26640464 33300580 66601160 133202320