Search a number
-
+
133320168 = 2334283727
BaseRepresentation
bin1111111001001…
…00110111101000
3100021212100220000
413330210313220
5233112221133
621121303000
73206126352
oct774446750
9307770800
10133320168
116928a463
1238794a60
132180ba97
14139c60d2
15ba87413
hex7f24de8

133320168 has 80 divisors (see below), whose sum is σ = 375254880. Its totient is φ = 44222112.

The previous prime is 133320127. The next prime is 133320211. The reversal of 133320168 is 861023331.

It is a happy number.

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, 183021 + ... + 183747.

It is an arithmetic number, because the mean of its divisors is an integer number (4690686).

Almost surely, 2133320168 is an apocalyptic number.

133320168 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 133320168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187627440).

133320168 is an abundant number, since it is smaller than the sum of its proper divisors (241934712).

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

133320168 is a wasteful number, since it uses less digits than its factorization.

133320168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1015 counting only the distinct ones).

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

The square root of 133320168 is about 11546.4352940637. The cubic root of 133320168 is about 510.8561398437.

Adding to 133320168 its reverse (861023331), we get a palindrome (994343499).

The spelling of 133320168 in words is "one hundred thirty-three million, three hundred twenty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 283 324 566 648 727 849 1132 1454 1698 2181 2264 2547 2908 3396 4362 5094 5816 6543 6792 7641 8724 10188 13086 15282 17448 19629 20376 22923 26172 30564 39258 45846 52344 58887 61128 78516 91692 117774 157032 183384 205741 235548 411482 471096 617223 822964 1234446 1645928 1851669 2468892 3703338 4937784 5555007 7406676 11110014 14813352 16665021 22220028 33330042 44440056 66660084 133320168