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133205504 = 291913693
BaseRepresentation
bin1111111000010…
…00111000000000
3100021122112121012
413330020320000
5233100034004
621115020052
73205141145
oct774107000
9307575535
10133205504
11692112a3
123873a628
132179b833
14139963cc
15ba6346e
hex7f08e00

133205504 has 40 divisors (see below), whose sum is σ = 280179240. Its totient is φ = 63092736.

The previous prime is 133205503. The next prime is 133205531. The reversal of 133205504 is 405502331.

It is a self number, because there is not a number n which added to its sum of digits gives 133205504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133205503) by changing a digit.

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, 2882 + ... + 16574.

It is an arithmetic number, because the mean of its divisors is an integer number (7004481).

Almost surely, 2133205504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140089620).

133205504 is an abundant number, since it is smaller than the sum of its proper divisors (146973736).

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

133205504 is an equidigital number, since it uses as much as digits as its factorization.

133205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13730 (or 13714 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 133205504 is about 11541.4688839853. The cubic root of 133205504 is about 510.7096413541.

Adding to 133205504 its reverse (405502331), we get a palindrome (538707835).

The spelling of 133205504 in words is "one hundred thirty-three million, two hundred five thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 9728 13693 27386 54772 109544 219088 260167 438176 520334 876352 1040668 1752704 2081336 3505408 4162672 7010816 8325344 16650688 33301376 66602752 133205504