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133190016 = 273346849
BaseRepresentation
bin1111111000001…
…01000110000000
3100021121202100120
413330011012000
5233044040031
621114420240
73205045041
oct774050600
9307552316
10133190016
11692006a3
1238731680
132179477b
14139908c8
15ba5da96
hex7f05180

133190016 has 32 divisors (see below), whose sum is σ = 353787000. Its totient is φ = 44396544.

The previous prime is 133189999. The next prime is 133190039. The reversal of 133190016 is 610091331.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173041 + ... + 173808.

Almost surely, 2133190016 is an apocalyptic number.

133190016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133190016 is an abundant number, since it is smaller than the sum of its proper divisors (220596984).

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

133190016 is an equidigital number, since it uses as much as digits as its factorization.

133190016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346866 (or 346854 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 133190016 is about 11540.7978926936. The cubic root of 133190016 is about 510.6898469331.

The spelling of 133190016 in words is "one hundred thirty-three million, one hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 346849 693698 1040547 1387396 2081094 2774792 4162188 5549584 8324376 11099168 16648752 22198336 33297504 44396672 66595008 133190016