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133608340 = 22541162937
BaseRepresentation
bin1111111011010…
…11001110010100
3100022102000012001
413331223032110
5233200431330
621131405044
73211436455
oct775531624
9308360161
10133608340
1169466a18
12388b3784
13218accb8
1413a5d12c
15bae29ca
hex7f6b394

133608340 has 24 divisors (see below), whose sum is σ = 287422632. Its totient is φ = 52139520.

The previous prime is 133608301. The next prime is 133608347. The reversal of 133608340 is 43806331.

It can be written as a sum of positive squares in 4 ways, for example, as 2322576 + 131285764 = 1524^2 + 11458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133608299 and 133608308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133608347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80649 + ... + 82288.

It is an arithmetic number, because the mean of its divisors is an integer number (11975943).

Almost surely, 2133608340 is an apocalyptic number.

133608340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133608340 is an abundant number, since it is smaller than the sum of its proper divisors (153814292).

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

133608340 is a wasteful number, since it uses less digits than its factorization.

133608340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162987 (or 162985 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 133608340 is about 11558.9073878114. The cubic root of 133608340 is about 511.2239473974.

The spelling of 133608340 in words is "one hundred thirty-three million, six hundred eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 162937 325874 651748 814685 1629370 3258740 6680417 13360834 26721668 33402085 66804170 133608340