Search a number
-
+
116089600 = 2852111797
BaseRepresentation
bin1101110101101…
…10001100000000
322002102221222211
412322312030000
5214204331400
615304111504
72606513434
oct672661400
9262387884
10116089600
115a590920
1232a65594
131b088093
14115bc9c4
15a2d1dba
hex6eb6300

116089600 has 216 divisors, whose sum is σ = 335322288. Its totient is φ = 39321600.

The previous prime is 116089499. The next prime is 116089613. The reversal of 116089600 is 6980611.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196752 + ... + 1196848.

It is an arithmetic number, because the mean of its divisors is an integer number (1552418).

Almost surely, 2116089600 is an apocalyptic number.

116089600 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 116089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167661144).

116089600 is an abundant number, since it is smaller than the sum of its proper divisors (219232688).

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

116089600 is a wasteful number, since it uses less digits than its factorization.

116089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 116089600 is about 10774.4883869258. The cubic root of 116089600 is about 487.8254324997.

The spelling of 116089600 in words is "one hundred sixteen million, eighty-nine thousand, six hundred".