Base | Representation |
---|---|
bin | 1100101100011… |
… | …10000000000000 |
3 | 21102101010210220 |
4 | 12112032000000 |
5 | 204230102213 |
6 | 14322223040 |
7 | 2432063040 |
oct | 626160000 |
9 | 242333726 |
10 | 106487808 |
11 | 55122959 |
12 | 2b7b4a80 |
13 | 190a584b |
14 | 101dd720 |
15 | 9536e23 |
hex | 658e000 |
106487808 has 112 divisors (see below), whose sum is σ = 325038720. Its totient is φ = 30375936.
The previous prime is 106487807. The next prime is 106487809. The reversal of 106487808 is 808784601.
It is an interprime number because it is at equal distance from previous prime (106487807) and next prime (106487809).
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×1064878082 = 22679306505289728, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a self number, because there is not a number n which added to its sum of digits gives 106487808.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106487807) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171723 + ... + 172341.
Almost surely, 2106487808 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106487808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162519360).
106487808 is an abundant number, since it is smaller than the sum of its proper divisors (218550912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106487808 is an frugal number, since it uses more digits than its factorization.
106487808 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 655 (or 631 counting only the distinct ones).
The product of its (nonzero) digits is 86016, while the sum is 42.
The square root of 106487808 is about 10319.2929990383. The cubic root of 106487808 is about 473.9872168035.
The spelling of 106487808 in words is "one hundred six million, four hundred eighty-seven thousand, eight hundred eight".
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