Search a number
-
+
116210304 = 2732714411
BaseRepresentation
bin1101110110100…
…11101010000000
322002200002120100
412323103222000
5214222212204
615310442400
72610525360
oct673235200
9262602510
10116210304
115a663581
1232b03400
131b0cacc2
14116109a0
15a307a39
hex6ed3a80

116210304 has 96 divisors (see below), whose sum is σ = 382206240. Its totient is φ = 33200640.

The previous prime is 116210293. The next prime is 116210309. The reversal of 116210304 is 403012611.

It is a happy number.

116210304 is a `hidden beast` number, since 11 + 621 + 0 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (116210309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 859 + ... + 15269.

It is an arithmetic number, because the mean of its divisors is an integer number (3981315).

Almost surely, 2116210304 is an apocalyptic number.

116210304 is a gapful number since it is divisible by the number (14) 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 116210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191103120).

116210304 is an abundant number, since it is smaller than the sum of its proper divisors (265995936).

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

116210304 is a wasteful number, since it uses less digits than its factorization.

116210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14438 (or 14423 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 116210304 is about 10780.0883113266. The cubic root of 116210304 is about 487.9944458743.

Adding to 116210304 its reverse (403012611), we get a palindrome (519222915).

The spelling of 116210304 in words is "one hundred sixteen million, two hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 14411 28822 43233 57644 86466 100877 115288 129699 172932 201754 230576 259398 302631 345864 403508 461152 518796 605262 691728 807016 907893 922304 1037592 1210524 1383456 1614032 1815786 1844608 2075184 2421048 2766912 3228064 3631572 4150368 4842096 5533824 6456128 7263144 8300736 9684192 12912256 14526288 16601472 19368384 29052576 38736768 58105152 116210304