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116100000 = 25335543
BaseRepresentation
bin1101110101110…
…00101110100000
322002110111021000
412322320232200
5214210200000
615304232000
72606555652
oct672705640
9262414230
10116100000
115a598715
1232a6b600
131b08ca33
14115c26d2
15a2d5000
hex6eb8ba0

116100000 has 288 divisors, whose sum is σ = 433097280. Its totient is φ = 30240000.

The previous prime is 116099999. The next prime is 116100031. The reversal of 116100000 is 1611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2699979 + ... + 2700021.

It is an arithmetic number, because the mean of its divisors is an integer number (1503810).

Almost surely, 2116100000 is an apocalyptic number.

116100000 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 116100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216548640).

116100000 is an abundant number, since it is smaller than the sum of its proper divisors (316997280).

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

116100000 is an frugal number, since it uses more digits than its factorization.

116100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 116100000 is about 10774.9709976408. The cubic root of 116100000 is about 487.8399995038.

Adding to 116100000 its reverse (1611), we get a palindrome (116101611).

The spelling of 116100000 in words is "one hundred sixteen million, one hundred thousand".