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133734042 = 232134313291
BaseRepresentation
bin1111111100010…
…01111010011010
3100022122101121200
413332021322122
5233213442132
621134215030
73212502111
oct776117232
9308571550
10133734042
1169542402
1238954476
1321925290
1413a92c78
15bb19d7c
hex7f89e9a

133734042 has 48 divisors (see below), whose sum is σ = 319327008. Its totient is φ = 40188960.

The previous prime is 133734037. The next prime is 133734047. The reversal of 133734042 is 240437331.

133734042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133734037) and next prime (133734047).

It is a junction number, because it is equal to n+sod(n) for n = 133733997 and 133734015.

It is not an unprimeable number, because it can be changed into a prime (133734047) 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 23 ways as a sum of consecutive naturals, for example, 3417 + ... + 16707.

It is an arithmetic number, because the mean of its divisors is an integer number (6652646).

Almost surely, 2133734042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133734042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159663504).

133734042 is an abundant number, since it is smaller than the sum of its proper divisors (185592966).

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

133734042 is a wasteful number, since it uses less digits than its factorization.

133734042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13355 (or 13352 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 133734042 is about 11564.3435611365. The cubic root of 133734042 is about 511.3842211501.

The spelling of 133734042 in words is "one hundred thirty-three million, seven hundred thirty-four thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1677 3354 5031 10062 13291 26582 39873 79746 119619 172783 239238 345566 518349 571513 1036698 1143026 1555047 1714539 3110094 3429078 5143617 7429669 10287234 14859338 22289007 44578014 66867021 133734042