Base | Representation |
---|---|
bin | 101000101010… |
… | …111011110000 |
3 | 202001122222200 |
4 | 220222323300 |
5 | 10212132431 |
6 | 1020303200 |
7 | 156423300 |
oct | 50527360 |
9 | 22048880 |
10 | 10661616 |
11 | 6022259 |
12 | 36a1b00 |
13 | 2293a64 |
14 | 15b7600 |
15 | e08ee6 |
hex | a2aef0 |
10661616 has 90 divisors (see below), whose sum is σ = 34732152. Its totient is φ = 3044160.
The previous prime is 10661611. The next prime is 10661653. The reversal of 10661616 is 61616601.
10661616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×106616162 = 227340111462912, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 10661616.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10661611) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6301 + ... + 7811.
Almost surely, 210661616 is an apocalyptic number.
10661616 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 10661616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076).
10661616 is an abundant number, since it is smaller than the sum of its proper divisors (24070536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10661616 is a wasteful number, since it uses less digits than its factorization.
10661616 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1539 (or 1523 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 27.
The square root of 10661616 is about 3265.2130098969. The cubic root of 10661616 is about 220.0937341622.
The spelling of 10661616 in words is "ten million, six hundred sixty-one thousand, six hundred sixteen".
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