Base | Representation |
---|---|
bin | 1100101111110… |
… | …01001111000000 |
3 | 21110012110022202 |
4 | 12113321033000 |
5 | 204333131130 |
6 | 14335452332 |
7 | 2435602433 |
oct | 627711700 |
9 | 243173282 |
10 | 106927040 |
11 | 553a2960 |
12 | 2b9870a8 |
13 | 191ca74c |
14 | 102b581a |
15 | 95c2145 |
hex | 65f93c0 |
106927040 has 112 divisors (see below), whose sum is σ = 285621984. Its totient is φ = 37785600.
The previous prime is 106927039. The next prime is 106927043. The reversal of 106927040 is 40729601.
It is a super-2 number, since 2×1069270402 = 22866783766323200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 106926994 and 106927012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106927043) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129830 + ... + 130650.
Almost surely, 2106927040 is an apocalyptic number.
106927040 is a gapful number since it is divisible by the number (10) 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 106927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142810992).
106927040 is an abundant number, since it is smaller than the sum of its proper divisors (178694944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106927040 is a wasteful number, since it uses less digits than its factorization.
106927040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 886 (or 876 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 29.
The square root of 106927040 is about 10340.5531766922. The cubic root of 106927040 is about 474.6380104458.
The spelling of 106927040 in words is "one hundred six million, nine hundred twenty-seven thousand, forty".
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