Base | Representation |
---|---|
bin | 1100110000010… |
… | …10001100011010 |
3 | 21110022222121120 |
4 | 12120022030122 |
5 | 204342342011 |
6 | 14341150110 |
7 | 2436312111 |
oct | 630121432 |
9 | 243288546 |
10 | 106996506 |
11 | 55440071 |
12 | 2b9bb336 |
13 | 19223256 |
14 | 102d2c78 |
15 | 95d7a06 |
hex | 660a31a |
106996506 has 32 divisors (see below), whose sum is σ = 227525760. Its totient is φ = 33468864.
The previous prime is 106996493. The next prime is 106996507. The reversal of 106996506 is 605699601.
106996506 is a nontrivial binomial coefficient, being equal to C(14629, 2).
It is a super-2 number, since 2×1069965062 = 22896504592416072, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (106996507) 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 15 ways as a sum of consecutive naturals, for example, 1 + ... + 14628.
It is an arithmetic number, because the mean of its divisors is an integer number (7110180).
Almost surely, 2106996506 is an apocalyptic number.
106996506 is the 14628-th triangular number.
106996506 is an abundant number, since it is smaller than the sum of its proper divisors (120529254).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106996506 is a wasteful number, since it uses less digits than its factorization.
106996506 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14710.
The product of its (nonzero) digits is 87480, while the sum is 42.
The square root of 106996506 is about 10343.9115425452. The cubic root of 106996506 is about 474.7407723122.
It can be divided in two parts, 10699 and 6506, that added together give a triangular number (17205 = T185).
The spelling of 106996506 in words is "one hundred six million, nine hundred ninety-six thousand, five hundred six".
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