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133380560 = 2453745061
BaseRepresentation
bin1111111001100…
…11100111010000
3100021222102201202
413330303213100
5233121134220
621122450332
73206500415
oct774634720
9307872652
10133380560
1169320875
12388039a8
1321830411
1413a0010c
15ba9a275
hex7f339d0

133380560 has 40 divisors (see below), whose sum is σ = 318498216. Its totient is φ = 51909120.

The previous prime is 133380557. The next prime is 133380581. The reversal of 133380560 is 65083331.

It can be written as a sum of positive squares in 4 ways, for example, as 68029504 + 65351056 = 8248^2 + 8084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19571 + ... + 25490.

Almost surely, 2133380560 is an apocalyptic number.

133380560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133380560 is an abundant number, since it is smaller than the sum of its proper divisors (185117656).

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

133380560 is a wasteful number, since it uses less digits than its factorization.

133380560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45111 (or 45105 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 133380560 is about 11549.0501773955. The cubic root of 133380560 is about 510.9332648759.

The spelling of 133380560 in words is "one hundred thirty-three million, three hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 45061 90122 180244 225305 360488 450610 720976 901220 1667257 1802440 3334514 3604880 6669028 8336285 13338056 16672570 26676112 33345140 66690280 133380560