Search a number
-
+
116200104 = 233431091033
BaseRepresentation
bin1101110110100…
…01001010101000
322002122120120120
412323101022220
5214221400404
615310323240
72610453546
oct673211250
9262576516
10116200104
115a656949
1232ab9520
131b0c6477
141160ad96
15a3049d9
hex6ed12a8

116200104 has 64 divisors (see below), whose sum is σ = 300273600. Its totient is φ = 37449216.

The previous prime is 116200099. The next prime is 116200111. The reversal of 116200104 is 401002611.

It is a super-2 number, since 2×1162001042 = 27004928339221632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111972 + ... + 113004.

It is an arithmetic number, because the mean of its divisors is an integer number (4691775).

Almost surely, 2116200104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116200104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150136800).

116200104 is an abundant number, since it is smaller than the sum of its proper divisors (184073496).

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

116200104 is a wasteful number, since it uses less digits than its factorization.

116200104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 116200104 is about 10779.6152064904. The cubic root of 116200104 is about 487.9801680555.

Adding to 116200104 its reverse (401002611), we get a palindrome (517202715).

The spelling of 116200104 in words is "one hundred sixteen million, two hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 86 109 129 172 218 258 327 344 436 516 654 872 1032 1033 1308 2066 2616 3099 4132 4687 6198 8264 9374 12396 14061 18748 24792 28122 37496 44419 56244 88838 112488 112597 133257 177676 225194 266514 337791 355352 450388 533028 675582 900776 1066056 1351164 2702328 4841671 9683342 14525013 19366684 29050026 38733368 58100052 116200104