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116743032 = 2335723373
BaseRepresentation
bin1101111010101…
…01101101111000
322010200011100000
412331111231320
5214341234112
615330113000
72615204460
oct675255570
9263604300
10116743032
115a99784a
123311b760
131b256623
141170cba0
15a3b07dc
hex6f55b78

116743032 has 192 divisors, whose sum is σ = 392071680. Its totient is φ = 31819392.

The previous prime is 116743027. The next prime is 116743057. The reversal of 116743032 is 230347611.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 116742987 and 116743005.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 312798 + ... + 313170.

It is an arithmetic number, because the mean of its divisors is an integer number (2042040).

Almost surely, 2116743032 is an apocalyptic number.

116743032 is a gapful number since it is divisible by the number (12) 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 116743032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196035840).

116743032 is an abundant number, since it is smaller than the sum of its proper divisors (275328648).

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

116743032 is a wasteful number, since it uses less digits than its factorization.

116743032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 116743032 is about 10804.7689470900. The cubic root of 116743032 is about 488.7389927815.

It can be divided in two parts, 11674 and 3032, that added together give a triangular number (14706 = T171).

The spelling of 116743032 in words is "one hundred sixteen million, seven hundred forty-three thousand, thirty-two".