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116728720 = 2451459109
BaseRepresentation
bin1101111010100…
…10001110010000
322010122102200221
412331102032100
5214340304340
615325522424
72615114653
oct675221620
9263572627
10116728720
115a988019
1233113414
131b24cc64
141170789a
15a3ab44a
hex6f52390

116728720 has 20 divisors (see below), whose sum is σ = 271394460. Its totient is φ = 46691456.

The previous prime is 116728709. The next prime is 116728721. The reversal of 116728720 is 27827611.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41525136 + 75203584 = 6444^2 + 8672^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (116728721) 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 3 ways as a sum of consecutive naturals, for example, 729475 + ... + 729634.

It is an arithmetic number, because the mean of its divisors is an integer number (13569723).

Almost surely, 2116728720 is an apocalyptic number.

116728720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116728720 is an abundant number, since it is smaller than the sum of its proper divisors (154665740).

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

116728720 is a wasteful number, since it uses less digits than its factorization.

116728720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459122 (or 1459116 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 116728720 is about 10804.1066266490. The cubic root of 116728720 is about 488.7190198027.

The spelling of 116728720 in words is "one hundred sixteen million, seven hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1459109 2918218 5836436 7295545 11672872 14591090 23345744 29182180 58364360 116728720