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116107008 = 283178893
BaseRepresentation
bin1101110101110…
…10011100000000
322002110211212120
412322322130000
5214210411013
615304324240
72606615253
oct672723400
9262424776
10116107008
115a5a2a06
1232a73680
131b092c94
14115c509a
15a2d7123
hex6eba700

116107008 has 72 divisors (see below), whose sum is σ = 327228048. Its totient is φ = 36421632.

The previous prime is 116107007. The next prime is 116107027. The reversal of 116107008 is 800701611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116107001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8610 + ... + 17502.

It is an arithmetic number, because the mean of its divisors is an integer number (4544834).

Almost surely, 2116107008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163614024).

116107008 is an abundant number, since it is smaller than the sum of its proper divisors (211121040).

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

116107008 is an equidigital number, since it uses as much as digits as its factorization.

116107008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8929 (or 8915 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 116107008 is about 10775.2961908246. The cubic root of 116107008 is about 487.8498149328.

Adding to 116107008 its reverse (800701611), we get a palindrome (916808619).

The spelling of 116107008 in words is "one hundred sixteen million, one hundred seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 8893 13056 17786 26679 35572 53358 71144 106716 142288 151181 213432 284576 302362 426864 453543 569152 604724 853728 907086 1138304 1209448 1707456 1814172 2276608 2418896 3414912 3628344 4837792 6829824 7256688 9675584 14513376 19351168 29026752 38702336 58053504 116107008