Base | Representation |
---|---|
bin | 1100110000000… |
… | …11101100101000 |
3 | 21110021122010000 |
4 | 12120003230220 |
5 | 204341014041 |
6 | 14340423000 |
7 | 2436141405 |
oct | 630035450 |
9 | 243248100 |
10 | 106969896 |
11 | 55422080 |
12 | 2b9a7a60 |
13 | 192140c7 |
14 | 102c72ac |
15 | 95cebb6 |
hex | 6603b28 |
106969896 has 160 divisors (see below), whose sum is σ = 335412000. Its totient is φ = 31570560.
The previous prime is 106969873. The next prime is 106969897. The reversal of 106969896 is 698969601.
It is a super-2 number, since 2×1069698962 = 22885117300501632, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (106969897) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 306330 + ... + 306678.
It is an arithmetic number, because the mean of its divisors is an integer number (2096325).
Almost surely, 2106969896 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 106969896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167706000).
106969896 is an abundant number, since it is smaller than the sum of its proper divisors (228442104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106969896 is a wasteful number, since it uses less digits than its factorization.
106969896 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 421 (or 408 counting only the distinct ones).
The product of its (nonzero) digits is 1259712, while the sum is 54.
The square root of 106969896 is about 10342.6251986621. The cubic root of 106969896 is about 474.7014130851.
The spelling of 106969896 in words is "one hundred six million, nine hundred sixty-nine thousand, eight hundred ninety-six".
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