Base | Representation |
---|---|
bin | 1100101110001… |
… | …01010010110010 |
3 | 21102210122111010 |
4 | 12113011102302 |
5 | 204304324130 |
6 | 14331131350 |
7 | 2434025244 |
oct | 627052262 |
9 | 242718433 |
10 | 106714290 |
11 | 55268031 |
12 | 2b8a3b56 |
13 | 19154967 |
14 | 1025c094 |
15 | 957e0b0 |
hex | 65c54b2 |
106714290 has 64 divisors (see below), whose sum is σ = 265457664. Its totient is φ = 27433728.
The previous prime is 106714249. The next prime is 106714297. The reversal of 106714290 is 92417601.
It is a happy number.
It is a super-2 number, since 2×1067142902 = 22775879380408200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is not an unprimeable number, because it can be changed into a prime (106714297) 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 31 ways as a sum of consecutive naturals, for example, 140592 + ... + 141348.
It is an arithmetic number, because the mean of its divisors is an integer number (4147776).
Almost surely, 2106714290 is an apocalyptic number.
106714290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 106714290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132728832).
106714290 is an abundant number, since it is smaller than the sum of its proper divisors (158743374).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106714290 is a wasteful number, since it uses less digits than its factorization.
106714290 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 931.
The product of its (nonzero) digits is 3024, while the sum is 30.
The square root of 106714290 is about 10330.2608873155. The cubic root of 106714290 is about 474.3230097289.
The spelling of 106714290 in words is "one hundred six million, seven hundred fourteen thousand, two hundred ninety".
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