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116066496 = 2637213273
BaseRepresentation
bin1101110101100…
…00100011000000
322002101210022010
412322300203000
5214203111441
615303412520
72606356200
oct672604300
9262353263
10116066496
115a575527
1232a54140
131b07a700
14115b4400
15a2ca116
hex6eb08c0

116066496 has 252 divisors, whose sum is σ = 392122152. Its totient is φ = 30191616.

The previous prime is 116066491. The next prime is 116066513. The reversal of 116066496 is 694660611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116066491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1589916 + ... + 1589988.

Almost surely, 2116066496 is an apocalyptic number.

116066496 is a gapful number since it is divisible by the number (16) 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 116066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196061076).

116066496 is an abundant number, since it is smaller than the sum of its proper divisors (276055656).

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

116066496 is a wasteful number, since it uses less digits than its factorization.

116066496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 116066496 is about 10773.4161712987. The cubic root of 116066496 is about 487.7930682266.

The spelling of 116066496 in words is "one hundred sixteen million, sixty-six thousand, four hundred ninety-six".