Base | Representation |
---|---|
bin | 101000111111… |
… | …101001100100 |
3 | 202012222101100 |
4 | 220333221210 |
5 | 10222341333 |
6 | 1022200100 |
7 | 160225545 |
oct | 50775144 |
9 | 22188340 |
10 | 10746468 |
11 | 607aa87 |
12 | 3723030 |
13 | 22c3575 |
14 | 15da4cc |
15 | e24213 |
hex | a3fa64 |
10746468 has 18 divisors (see below), whose sum is σ = 27164774. Its totient is φ = 3582144.
The previous prime is 10746467. The next prime is 10746473. The reversal of 10746468 is 86464701.
10746468 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 646 + 8 = 666.
It can be written as a sum of positive squares in only one way, i.e., 9474084 + 1272384 = 3078^2 + 1128^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 298513 = 10746468 / (1 + 0 + 7 + 4 + 6 + 4 + 6 + 8).
It is not an unprimeable number, because it can be changed into a prime (10746467) 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 5 ways as a sum of consecutive naturals, for example, 149221 + ... + 149292.
Almost surely, 210746468 is an apocalyptic number.
10746468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
10746468 is an abundant number, since it is smaller than the sum of its proper divisors (16418306).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10746468 is a wasteful number, since it uses less digits than its factorization.
10746468 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 298523 (or 298518 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 10746468 is about 3278.1805929509. The cubic root of 10746468 is about 220.6760745201.
The spelling of 10746468 in words is "ten million, seven hundred forty-six thousand, four hundred sixty-eight".
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