Search a number
-
+
768400110 = 232543198553
BaseRepresentation
bin101101110011001…
…101101011101110
31222112212202210100
4231303031223232
53033202300420
6204125251530
725020202362
oct5563155356
91875782710
10768400110
11364818415
12195403ba6
13c326a92a
14740a12a2
15476d4190
hex2dccdaee

768400110 has 48 divisors (see below), whose sum is σ = 2044311984. Its totient is φ = 200140416.

The previous prime is 768400099. The next prime is 768400121. The reversal of 768400110 is 11004867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (768400099) and next prime (768400121).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 95407 + ... + 103146.

It is an arithmetic number, because the mean of its divisors is an integer number (42589833).

Almost surely, 2768400110 is an apocalyptic number.

768400110 is an abundant number, since it is smaller than the sum of its proper divisors (1275911874).

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

768400110 is a wasteful number, since it uses less digits than its factorization.

768400110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198609 (or 198606 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 768400110 is about 27720.0308441387. The cubic root of 768400110 is about 915.9303982443.

Adding to 768400110 its reverse (11004867), we get a palindrome (779404977).

The spelling of 768400110 in words is "seven hundred sixty-eight million, four hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 198553 397106 595659 992765 1191318 1786977 1985530 2978295 3573954 5956590 8537779 8934885 17075558 17869770 25613337 42688895 51226674 76840011 85377790 128066685 153680022 256133370 384200055 768400110