Base | Representation |
---|---|
bin | 1100101110000… |
… | …01000101100000 |
3 | 21102202202211211 |
4 | 12113001011200 |
5 | 204303301211 |
6 | 14330515504 |
7 | 2433624064 |
oct | 627010540 |
9 | 242682754 |
10 | 106697056 |
11 | 55256094 |
12 | 2b895b94 |
13 | 19149b6b |
14 | 10255aa4 |
15 | 9578e21 |
hex | 65c1160 |
106697056 has 36 divisors (see below), whose sum is σ = 214278372. Its totient is φ = 52297856.
The previous prime is 106697051. The next prime is 106697077. The reversal of 106697056 is 650796601.
It is a super-2 number, since 2×1066970562 = 22768523518134272, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106697051) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89295 + ... + 90481.
It is an arithmetic number, because the mean of its divisors is an integer number (5952177).
Almost surely, 2106697056 is an apocalyptic number.
106697056 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 106697056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107139186).
106697056 is an abundant number, since it is smaller than the sum of its proper divisors (107581316).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106697056 is an equidigital number, since it uses as much as digits as its factorization.
106697056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1303 (or 1242 counting only the distinct ones).
The product of its (nonzero) digits is 68040, while the sum is 40.
The square root of 106697056 is about 10329.4267023877. The cubic root of 106697056 is about 474.2974744957.
The spelling of 106697056 in words is "one hundred six million, six hundred ninety-seven thousand, fifty-six".
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