Search a number
-
+
133925946 = 23711219273
BaseRepresentation
bin1111111101110…
…00110000111010
3100100000010212020
413332320300322
5233241112241
621142255310
73214231440
oct776706072
9310003766
10133925946
1169663600
1238a27536
132199172b
1413b02b90
15bb56b66
hex7fb8c3a

133925946 has 144 divisors (see below), whose sum is σ = 359980992. Its totient is φ = 32503680.

The previous prime is 133925933. The next prime is 133925947. The reversal of 133925946 is 649529331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 133925898 and 133925907.

It is not an unprimeable number, because it can be changed into a prime (133925947) 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 71 ways as a sum of consecutive naturals, for example, 1834566 + ... + 1834638.

It is an arithmetic number, because the mean of its divisors is an integer number (2499868).

Almost surely, 2133925946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133925946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179990496).

133925946 is an abundant number, since it is smaller than the sum of its proper divisors (226055046).

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

133925946 is a wasteful number, since it uses less digits than its factorization.

133925946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 133925946 is about 11572.6378151224. The cubic root of 133925946 is about 511.6287108166.

The spelling of 133925946 in words is "one hundred thirty-three million, nine hundred twenty-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 73 77 114 121 133 146 154 209 219 231 242 266 361 363 399 418 438 462 511 627 722 726 798 803 847 1022 1083 1254 1387 1463 1533 1606 1694 2166 2299 2409 2527 2541 2774 2926 3066 3971 4161 4389 4598 4818 5054 5082 5621 6897 7581 7942 8322 8778 8833 9709 11242 11913 13794 15162 15257 16093 16863 17666 19418 23826 26353 26499 27797 29127 30514 32186 33726 43681 45771 48279 52706 52998 55594 58254 61831 79059 83391 87362 91542 96558 106799 123662 131043 158118 166782 167827 184471 185493 213598 262086 289883 305767 320397 335654 368942 370986 503481 553413 579766 611534 640794 869649 917301 1006962 1106826 1174789 1739298 1834602 2029181 2349578 3188713 3524367 4058362 6087543 6377426 7048734 9566139 12175086 19132278 22320991 44641982 66962973 133925946