Search a number
-
+
116004320 = 2553791913
BaseRepresentation
bin1101110101000…
…01010111100000
322002021122000022
412322201113200
5214144114240
615302213012
72606010005
oct672412740
9262248008
10116004320
115a532843
1232a24168
131b058313
14115998ac
15a2b69b5
hex6ea15e0

116004320 has 48 divisors (see below), whose sum is σ = 274926960. Its totient is φ = 46255104.

The previous prime is 116004313. The next prime is 116004347. The reversal of 116004320 is 23400611.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 59684 + ... + 61596.

It is an arithmetic number, because the mean of its divisors is an integer number (5727645).

Almost surely, 2116004320 is an apocalyptic number.

116004320 is a gapful number since it is divisible by the number (10) 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 116004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137463480).

116004320 is an abundant number, since it is smaller than the sum of its proper divisors (158922640).

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

116004320 is a wasteful number, since it uses less digits than its factorization.

116004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 116004320 is about 10770.5301633671. The cubic root of 116004320 is about 487.7059502378.

Adding to 116004320 its reverse (23400611), we get a palindrome (139404931).

The spelling of 116004320 in words is "one hundred sixteen million, four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 379 758 1516 1895 1913 3032 3790 3826 6064 7580 7652 9565 12128 15160 15304 19130 30320 30608 38260 60640 61216 76520 153040 306080 725027 1450054 2900108 3625135 5800216 7250270 11600432 14500540 23200864 29001080 58002160 116004320