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133395012 = 22342914197
BaseRepresentation
bin1111111001101…
…11001001000100
3100022000011120000
413330313021010
5233122120022
621123041300
73206560512
oct774671104
9308004500
10133395012
1169330713
1238810230
1321836b7a
1413a054b2
15ba9e6ac
hex7f37244

133395012 has 60 divisors (see below), whose sum is σ = 360771180. Its totient is φ = 42928704.

The previous prime is 133394999. The next prime is 133395023. The reversal of 133395012 is 210593331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 110124036 + 23270976 = 10494^2 + 4824^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2298 + ... + 16494.

It is an arithmetic number, because the mean of its divisors is an integer number (6012853).

Almost surely, 2133395012 is an apocalyptic number.

133395012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133395012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180385590).

133395012 is an abundant number, since it is smaller than the sum of its proper divisors (227376168).

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

133395012 is a wasteful number, since it uses less digits than its factorization.

133395012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14242 (or 14231 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 133395012 is about 11549.6758396069. The cubic root of 133395012 is about 510.9517176921.

The spelling of 133395012 in words is "one hundred thirty-three million, three hundred ninety-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 14197 28394 42591 56788 85182 127773 170364 255546 383319 411713 511092 766638 823426 1149957 1235139 1533276 1646852 2299914 2470278 3705417 4599828 4940556 7410834 11116251 14821668 22232502 33348753 44465004 66697506 133395012