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133543120 = 2451669289
BaseRepresentation
bin1111111010110…
…11010011010000
3100022021200201111
413331123103100
5233141334440
621130143104
73211045354
oct775332320
9308250644
10133543120
1169421a17
1238881a94
13218893c9
1413a43464
15bacd4ea
hex7f5b4d0

133543120 has 20 divisors (see below), whose sum is σ = 310487940. Its totient is φ = 53417216.

The previous prime is 133543117. The next prime is 133543139. The reversal of 133543120 is 21345331.

It can be written as a sum of positive squares in 2 ways, for example, as 106419856 + 27123264 = 10316^2 + 5208^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 133543091 and 133543100.

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, 834565 + ... + 834724.

It is an arithmetic number, because the mean of its divisors is an integer number (15524397).

Almost surely, 2133543120 is an apocalyptic number.

133543120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133543120 is an abundant number, since it is smaller than the sum of its proper divisors (176944820).

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

133543120 is a wasteful number, since it uses less digits than its factorization.

133543120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669302 (or 1669296 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 133543120 is about 11556.0858425334. The cubic root of 133543120 is about 511.1407503641.

Adding to 133543120 its reverse (21345331), we get a palindrome (154888451).

The spelling of 133543120 in words is "one hundred thirty-three million, five hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1669289 3338578 6677156 8346445 13354312 16692890 26708624 33385780 66771560 133543120