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133338640 = 2451666733
BaseRepresentation
bin1111111001010…
…01011000010000
3100021220022020011
413330221120100
5233113314030
621121524304
73206234251
oct774513020
9307808204
10133338640
11692a2326
12387a3694
1321817306
14139ccb28
15ba8cb2a
hex7f29610

133338640 has 20 divisors (see below), whose sum is σ = 310012524. Its totient is φ = 53335424.

The previous prime is 133338593. The next prime is 133338641. The reversal of 133338640 is 46833331.

It can be written as a sum of positive squares in 2 ways, for example, as 62980096 + 70358544 = 7936^2 + 8388^2 .

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

It is not an unprimeable number, because it can be changed into a prime (133338641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 833287 + ... + 833446.

Almost surely, 2133338640 is an apocalyptic number.

133338640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133338640 is an abundant number, since it is smaller than the sum of its proper divisors (176673884).

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

133338640 is a wasteful number, since it uses less digits than its factorization.

133338640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666746 (or 1666740 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 133338640 is about 11547.2351669133. The cubic root of 133338640 is about 510.8797324203.

The spelling of 133338640 in words is "one hundred thirty-three million, three hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1666733 3333466 6666932 8333665 13333864 16667330 26667728 33334660 66669320 133338640