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133126308 = 22337293601
BaseRepresentation
bin1111110111101…
…01100010100100
3100021111111222000
413323311202210
5233040020213
621113205300
73204361230
oct773654244
9307444860
10133126308
1169167847
1238700830
1321771783
14139755c0
15ba49c73
hex7ef58a4

133126308 has 96 divisors (see below), whose sum is σ = 396453120. Its totient is φ = 37843200.

The previous prime is 133126291. The next prime is 133126319. The reversal of 133126308 is 803621331.

It is a happy number.

133126308 is a `hidden beast` number, since 1 + 331 + 26 + 308 = 666.

It is a super-2 number, since 2×1331263082 = 35445227763421728, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 221208 + ... + 221808.

It is an arithmetic number, because the mean of its divisors is an integer number (4129720).

Almost surely, 2133126308 is an apocalyptic number.

133126308 is a gapful number since it is divisible by the number (18) 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 133126308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198226560).

133126308 is an abundant number, since it is smaller than the sum of its proper divisors (263326812).

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

133126308 is a wasteful number, since it uses less digits than its factorization.

133126308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133126308 is about 11538.0374414369. The cubic root of 133126308 is about 510.6084088529.

Adding to 133126308 its reverse (803621331), we get a palindrome (936747639).

The spelling of 133126308 in words is "one hundred thirty-three million, one hundred twenty-six thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 293 378 586 601 756 879 1172 1202 1758 1803 2051 2404 2637 3516 3606 4102 4207 5274 5409 6153 7212 7911 8204 8414 10548 10818 12306 12621 15822 16227 16828 18459 21636 24612 25242 31644 32454 36918 37863 50484 55377 64908 73836 75726 110754 113589 151452 176093 221508 227178 352186 454356 528279 704372 1056558 1232651 1584837 2113116 2465302 3169674 3697953 4754511 4930604 6339348 7395906 9509022 11093859 14791812 19018044 22187718 33281577 44375436 66563154 133126308