Search a number
-
+
133020342 = 232713172281
BaseRepresentation
bin1111110110110…
…11101010110110
3100021022010121100
413323123222312
5233023122332
621111030530
73203440260
oct773335266
9307263540
10133020342
11690a5174
123866b446
1321735480
1413948b30
15ba2867c
hex7edbab6

133020342 has 144 divisors (see below), whose sum is σ = 378155232. Its totient is φ = 32901120.

The previous prime is 133020341. The next prime is 133020347. The reversal of 133020342 is 243020331.

It is a super-2 number, since 2×1330203422 = 35388822771593928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133020341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 473242 + ... + 473522.

It is an arithmetic number, because the mean of its divisors is an integer number (2626078).

Almost surely, 2133020342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133020342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189077616).

133020342 is an abundant number, since it is smaller than the sum of its proper divisors (245134890).

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

133020342 is a wasteful number, since it uses less digits than its factorization.

133020342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133020342 is about 11533.4444985009. Note that the first 4 decimals coincide. The cubic root of 133020342 is about 510.4728947088.

Adding to 133020342 its reverse (243020331), we get a palindrome (376040673).

The spelling of 133020342 in words is "one hundred thirty-three million, twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 78 91 102 117 119 126 153 182 221 234 238 273 281 289 306 357 442 546 562 578 663 714 819 843 867 1071 1326 1547 1638 1686 1734 1967 1989 2023 2142 2529 2601 3094 3653 3757 3934 3978 4046 4641 4777 5058 5202 5901 6069 7306 7514 9282 9554 10959 11271 11802 12138 13923 14331 17703 18207 21918 22542 25571 26299 27846 28662 32877 33439 33813 35406 36414 42993 51142 52598 62101 65754 66878 67626 76713 78897 81209 85986 100317 124202 153426 157794 162418 186303 200634 230139 236691 243627 300951 372606 434707 460278 473382 487254 558909 568463 601902 730881 869414 1055717 1117818 1136926 1304121 1461762 1705389 2111434 2608242 3167151 3410778 3912363 5116167 6334302 7390019 7824726 9501453 10232334 14780038 19002906 22170057 44340114 66510171 133020342