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116000000 = 285629
BaseRepresentation
bin1101110101000…
…00010100000000
322002021102002022
412322200110000
5214144000000
615302141012
72605661264
oct672402400
9262242068
10116000000
115a52a576
1232a21768
131b05636c
14115980a4
15a2b5585
hex6ea0500

116000000 has 126 divisors (see below), whose sum is σ = 299410230. Its totient is φ = 44800000.

The previous prime is 115999999. The next prime is 116000009. The reversal of 116000000 is 611.

It can be written as a sum of positive squares in 7 ways, for example, as 115949824 + 50176 = 10768^2 + 224^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116000009) 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, 3999986 + ... + 4000014.

Almost surely, 2116000000 is an apocalyptic number.

116000000 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 116000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149705115).

116000000 is an abundant number, since it is smaller than the sum of its proper divisors (183410230).

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

116000000 is an frugal number, since it uses more digits than its factorization.

116000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 116000000 is about 10770.3296142690. The cubic root of 116000000 is about 487.6998961073.

Adding to 116000000 its reverse (611), we get a palindrome (116000611).

The spelling of 116000000 in words is "one hundred sixteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 256 290 320 400 464 500 580 625 640 725 800 928 1000 1160 1250 1280 1450 1600 1856 2000 2320 2500 2900 3125 3200 3625 3712 4000 4640 5000 5800 6250 6400 7250 7424 8000 9280 10000 11600 12500 14500 15625 16000 18125 18560 20000 23200 25000 29000 31250 32000 36250 37120 40000 46400 50000 58000 62500 72500 80000 90625 92800 100000 116000 125000 145000 160000 181250 185600 200000 232000 250000 290000 362500 400000 453125 464000 500000 580000 725000 800000 906250 928000 1000000 1160000 1450000 1812500 2000000 2320000 2900000 3625000 4000000 4640000 5800000 7250000 11600000 14500000 23200000 29000000 58000000 116000000