Base | Representation |
---|---|
bin | 100111100000… |
… | …100100000100 |
3 | 201111012010110 |
4 | 213200210010 |
5 | 10122410441 |
6 | 1005553020 |
7 | 154014216 |
oct | 47404404 |
9 | 21435113 |
10 | 10356996 |
11 | 5934401 |
12 | 3575770 |
13 | 21b8200 |
14 | 15385b6 |
15 | d98b16 |
hex | 9e0904 |
10356996 has 36 divisors (see below), whose sum is σ = 26173392. Its totient is φ = 3186144.
The previous prime is 10356971. The next prime is 10357027. The reversal of 10356996 is 69965301.
It is a super-3 number, since 3×103569963 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526 + ... + 4581.
Almost surely, 210356996 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10356996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086696).
10356996 is an abundant number, since it is smaller than the sum of its proper divisors (15816396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10356996 is a wasteful number, since it uses less digits than its factorization.
10356996 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5140 (or 5125 counting only the distinct ones).
The product of its (nonzero) digits is 43740, while the sum is 39.
The square root of 10356996 is about 3218.2287053595. The cubic root of 10356996 is about 217.9773003326.
The spelling of 10356996 in words is "ten million, three hundred fifty-six thousand, nine hundred ninety-six".
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