Base | Representation |
---|---|
bin | 101000001100… |
… | …001001110000 |
3 | 201211021001001 |
4 | 220030021300 |
5 | 10144114121 |
6 | 1013451344 |
7 | 155356564 |
oct | 50141160 |
9 | 21737031 |
10 | 10535536 |
11 | 5a46560 |
12 | 3640b54 |
13 | 224b55b |
14 | 15836a4 |
15 | dd1991 |
hex | a0c270 |
10535536 has 40 divisors (see below), whose sum is σ = 22998528. Its totient is φ = 4632000.
The previous prime is 10535509. The next prime is 10535537. The reversal of 10535536 is 63553501.
It is a happy number.
It is a super-2 number, since 2×105355362 = 221995037614592, which contains 22 as substring.
It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10535537) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4491 + ... + 6421.
Almost surely, 210535536 is an apocalyptic number.
10535536 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 10535536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499264).
10535536 is an abundant number, since it is smaller than the sum of its proper divisors (12462992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10535536 is a wasteful number, since it uses less digits than its factorization.
10535536 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1981 (or 1975 counting only the distinct ones).
The product of its (nonzero) digits is 6750, while the sum is 28.
The square root of 10535536 is about 3245.8490414682. The cubic root of 10535536 is about 219.2227115189. Note that the first 3 decimals are identical.
The spelling of 10535536 in words is "ten million, five hundred thirty-five thousand, five hundred thirty-six".
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