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133061620 = 22537179813
BaseRepresentation
bin1111110111001…
…01101111110100
3100021101020020011
413323211233310
5233030432440
621111550004
73204001516
oct773455764
9307336204
10133061620
116912318a
123868b304
132174b1b3
1413959bb6
15ba359ea
hex7ee5bf4

133061620 has 24 divisors (see below), whose sum is σ = 286983144. Its totient is φ = 51785856.

The previous prime is 133061569. The next prime is 133061623. The reversal of 133061620 is 26160331.

It can be written as a sum of positive squares in 4 ways, for example, as 30404196 + 102657424 = 5514^2 + 10132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133061591 and 133061600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133061623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89167 + ... + 90646.

It is an arithmetic number, because the mean of its divisors is an integer number (11957631).

Almost surely, 2133061620 is an apocalyptic number.

133061620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133061620 is an abundant number, since it is smaller than the sum of its proper divisors (153921524).

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

133061620 is a wasteful number, since it uses less digits than its factorization.

133061620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179859 (or 179857 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 133061620 is about 11535.2338511189. The cubic root of 133061620 is about 510.5256914481.

The spelling of 133061620 in words is "one hundred thirty-three million, sixty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 179813 359626 719252 899065 1798130 3596260 6653081 13306162 26612324 33265405 66530810 133061620