Base | Representation |
---|---|
bin | 101000111110… |
… | …100101010000 |
3 | 202012202101102 |
4 | 220332211100 |
5 | 10222221341 |
6 | 1022123532 |
7 | 160210031 |
oct | 50764520 |
9 | 22182342 |
10 | 10742096 |
11 | 6077772 |
12 | 37205a8 |
13 | 22c1591 |
14 | 15d8a88 |
15 | e22c9b |
hex | a3e950 |
10742096 has 40 divisors (see below), whose sum is σ = 22380264. Its totient is φ = 4976640.
The previous prime is 10742077. The next prime is 10742107. The reversal of 10742096 is 69024701.
It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 8065600 = 1636^2 + 2840^2 .
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 19586 + ... + 20126.
Almost surely, 210742096 is an apocalyptic number.
10742096 is a gapful number since it is divisible by the number (16) 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 10742096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11190132).
10742096 is an abundant number, since it is smaller than the sum of its proper divisors (11638168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10742096 is a wasteful number, since it uses less digits than its factorization.
10742096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 639 (or 633 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 29.
The square root of 10742096 is about 3277.5136918097. The cubic root of 10742096 is about 220.6461444797.
Adding to 10742096 its reverse (69024701), we get a palindrome (79766797).
The spelling of 10742096 in words is "ten million, seven hundred forty-two thousand, ninety-six".
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