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116745312 = 2531916367
BaseRepresentation
bin1101111010101…
…10010001100000
322010200021110110
412331112101200
5214341322222
615330131320
72615214225
oct675262140
9263607413
10116745312
115a999532
1233120b40
131b257688
141170d94c
15a3b130c
hex6f56460

116745312 has 48 divisors (see below), whose sum is σ = 308109312. Its totient is φ = 38705280.

The previous prime is 116745281. The next prime is 116745313. The reversal of 116745312 is 213547611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 116745312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116745313) 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, 15153 + ... + 21519.

It is an arithmetic number, because the mean of its divisors is an integer number (6418944).

Almost surely, 2116745312 is an apocalyptic number.

116745312 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 116745312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154054656).

116745312 is an abundant number, since it is smaller than the sum of its proper divisors (191364000).

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

116745312 is a wasteful number, since it uses less digits than its factorization.

116745312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571 (or 6563 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 116745312 is about 10804.8744555409. The cubic root of 116745312 is about 488.7421744637.

The spelling of 116745312 in words is "one hundred sixteen million, seven hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 2292 3056 4584 6112 6367 9168 12734 18336 19101 25468 38202 50936 76404 101872 152808 203744 305616 611232 1216097 2432194 3648291 4864388 7296582 9728776 14593164 19457552 29186328 38915104 58372656 116745312