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116011000 = 2353716573
BaseRepresentation
bin1101110101000…
…10111111111000
322002021222011201
412322202333320
5214144323000
615302303544
72606035330
oct672427770
9262258151
10116011000
115a537866
1232a27bb4
131b05b381
141159c0c0
15a2b896a
hex6ea2ff8

116011000 has 64 divisors (see below), whose sum is σ = 310265280. Its totient is φ = 39772800.

The previous prime is 116010997. The next prime is 116011001. The reversal of 116011000 is 110611.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1287 + ... + 15286.

It is an arithmetic number, because the mean of its divisors is an integer number (4847895).

Almost surely, 2116011000 is an apocalyptic number.

116011000 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 116011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155132640).

116011000 is an abundant number, since it is smaller than the sum of its proper divisors (194254280).

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

116011000 is a wasteful number, since it uses less digits than its factorization.

116011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16601 (or 16587 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 116011000 is about 10770.8402643434. The cubic root of 116011000 is about 487.7153114214.

Adding to 116011000 its reverse (110611), we get a palindrome (116121611).

The spelling of 116011000 in words is "one hundred sixteen million, eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 16573 33146 66292 82865 116011 132584 165730 232022 331460 414325 464044 580055 662920 828650 928088 1160110 1657300 2071625 2320220 2900275 3314600 4143250 4640440 5800550 8286500 11601100 14501375 16573000 23202200 29002750 58005500 116011000