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133242320 = 2451665529
BaseRepresentation
bin1111111000100…
…01110111010000
3100021201102002202
413330101313100
5233102223240
621115502332
73205353401
oct774216720
9307642082
10133242320
1169236a22
12387579a8
13217b2513
14139a59a8
15ba6e315
hex7f11dd0

133242320 has 20 divisors (see below), whose sum is σ = 309788580. Its totient is φ = 53296896.

The previous prime is 133242287. The next prime is 133242341. The reversal of 133242320 is 23242331.

It can be written as a sum of positive squares in 2 ways, for example, as 67502656 + 65739664 = 8216^2 + 8108^2 .

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 133242292 and 133242301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 832685 + ... + 832844.

It is an arithmetic number, because the mean of its divisors is an integer number (15489429).

Almost surely, 2133242320 is an apocalyptic number.

133242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133242320 is an abundant number, since it is smaller than the sum of its proper divisors (176546260).

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

133242320 is a wasteful number, since it uses less digits than its factorization.

133242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665542 (or 1665536 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 133242320 is about 11543.0637180949. The cubic root of 133242320 is about 510.7566878440.

Adding to 133242320 its reverse (23242331), we get a palindrome (156484651).

The spelling of 133242320 in words is "one hundred thirty-three million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1665529 3331058 6662116 8327645 13324232 16655290 26648464 33310580 66621160 133242320