Search a number
-
+
83199138 = 23111966347
BaseRepresentation
bin1001111010110…
…00010010100010
312210112221202120
410331120102202
5132244333023
612131125110
72030116041
oct475302242
9183487676
1083199138
1142a66820
1223a43796
1314310579
14b09a558
1574868e3
hex4f584a2

83199138 has 32 divisors (see below), whose sum is σ = 191082240. Its totient is φ = 23884560.

The previous prime is 83199101. The next prime is 83199143.

It is a happy number.

83199138 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83199138.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31920 + ... + 34427.

It is an arithmetic number, because the mean of its divisors is an integer number (5971320).

Almost surely, 283199138 is an apocalyptic number.

83199138 is an abundant number, since it is smaller than the sum of its proper divisors (107883102).

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

83199138 is a wasteful number, since it uses less digits than its factorization.

83199138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66382.

The product of its digits is 46656, while the sum is 42.

The square root of 83199138 is about 9121.3561491699. The cubic root of 83199138 is about 436.5556455579. Note that the first 3 decimals are identical.

The spelling of 83199138 in words is "eighty-three million, one hundred ninety-nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 66347 132694 199041 398082 729817 1260593 1459634 2189451 2521186 3781779 4378902 7563558 13866523 27733046 41599569 83199138