| Base | Representation |
|---|---|
| bin | 101000110010… |
| … | …100100000000 |
| 3 | 202010020212000 |
| 4 | 220302210000 |
| 5 | 10214132424 |
| 6 | 1021104000 |
| 7 | 156613350 |
| oct | 50624400 |
| 9 | 22106760 |
| 10 | 10692864 |
| 11 | 6043786 |
| 12 | 36b8000 |
| 13 | 22a5050 |
| 14 | 15c4b60 |
| 15 | e133c9 |
| hex | a32900 |
10692864 has 288 divisors, whose sum is σ = 41207040. Its totient is φ = 2654208.
The previous prime is 10692863. The next prime is 10692883. The reversal of 10692864 is 46829601.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×106928642 = 228674681044992, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10692863) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628984 + ... + 629000.
It is an arithmetic number, because the mean of its divisors is an integer number (143080).
Almost surely, 210692864 is an apocalyptic number.
10692864 is a gapful number since it is divisible by the number (14) 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 10692864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).
10692864 is an abundant number, since it is smaller than the sum of its proper divisors (30514176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10692864 is a wasteful number, since it uses less digits than its factorization.
10692864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 62 (or 42 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 10692864 is about 3269.9944954082. The cubic root of 10692864 is about 220.3085477788.
Adding to 10692864 its sum of digits (36), we get a square (10692900 = 32702).
The spelling of 10692864 in words is "ten million, six hundred ninety-two thousand, eight hundred sixty-four".
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