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116309100 = 223522291693
BaseRepresentation
bin1101110111010…
…11110001101100
322002212010002110
412323223301230
5214233342400
615312524020
72611416405
oct673536154
9262763073
10116309100
115a720826
1232b50610
131b133c6b
14116389ac
15a326e50
hex6eebc6c

116309100 has 72 divisors (see below), whose sum is σ = 338190160. Its totient is φ = 30862080.

The previous prime is 116309071. The next prime is 116309101. The reversal of 116309100 is 1903611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (116309101) 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 23 ways as a sum of consecutive naturals, for example, 67854 + ... + 69546.

Almost surely, 2116309100 is an apocalyptic number.

116309100 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 116309100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169095080).

116309100 is an abundant number, since it is smaller than the sum of its proper divisors (221881060).

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

116309100 is a wasteful number, since it uses less digits than its factorization.

116309100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 116309100 is about 10784.6696750526. The cubic root of 116309100 is about 488.1326959308.

The spelling of 116309100 in words is "one hundred sixteen million, three hundred nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 458 687 916 1145 1374 1693 2290 2748 3386 3435 4580 5079 5725 6772 6870 8465 10158 11450 13740 16930 17175 20316 22900 25395 33860 34350 42325 50790 68700 84650 101580 126975 169300 253950 387697 507900 775394 1163091 1550788 1938485 2326182 3876970 4652364 5815455 7753940 9692425 11630910 19384850 23261820 29077275 38769700 58154550 116309100