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116125000 = 2356929
BaseRepresentation
bin1101110101111…
…10110101001000
322002111202112221
412322332311020
5214212000000
615304543424
72610021565
oct672766510
9262452487
10116125000
115a605482
1232a81b74
131b09b224
14115cb86c
15a2dc61a
hex6ebed48

116125000 has 56 divisors (see below), whose sum is σ = 272457450. Its totient is φ = 46400000.

The previous prime is 116124989. The next prime is 116125001. The reversal of 116125000 is 521611.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 96000804 + 20124196 = 9798^2 + 4486^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116125001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124536 + ... + 125464.

Almost surely, 2116125000 is an apocalyptic number.

116125000 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 116125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136228725).

116125000 is an abundant number, since it is smaller than the sum of its proper divisors (156332450).

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

116125000 is an frugal number, since it uses more digits than its factorization.

116125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 116125000 is about 10776.1310311262. The cubic root of 116125000 is about 487.8750127817.

Adding to 116125000 its reverse (521611), we get a palindrome (116646611).

The spelling of 116125000 in words is "one hundred sixteen million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 929 1000 1250 1858 2500 3125 3716 4645 5000 6250 7432 9290 12500 15625 18580 23225 25000 31250 37160 46450 62500 92900 116125 125000 185800 232250 464500 580625 929000 1161250 2322500 2903125 4645000 5806250 11612500 14515625 23225000 29031250 58062500 116125000