Base | Representation |
---|---|
bin | 100110100101… |
… | …110111100000 |
3 | 201000222100000 |
4 | 212211313200 |
5 | 10042212301 |
6 | 1000500000 |
7 | 151663251 |
oct | 46456740 |
9 | 21028300 |
10 | 10116576 |
11 | 578a808 |
12 | 347a600 |
13 | 2132952 |
14 | 14b4b28 |
15 | d4c786 |
hex | 9a5de0 |
10116576 has 72 divisors (see below), whose sum is σ = 29857464. Its totient is φ = 3369600.
The previous prime is 10116539. The next prime is 10116593. The reversal of 10116576 is 67561101.
10116576 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 657 + 6 = 666.
10116576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
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, 7126 + ... + 8426.
It is an arithmetic number, because the mean of its divisors is an integer number (414687).
Almost surely, 210116576 is an apocalyptic number.
10116576 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 10116576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928732).
10116576 is an abundant number, since it is smaller than the sum of its proper divisors (19740888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10116576 is an equidigital number, since it uses as much as digits as its factorization.
10116576 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1326 (or 1306 counting only the distinct ones).
The product of its (nonzero) digits is 1260, while the sum is 27.
The square root of 10116576 is about 3180.6565360001. The cubic root of 10116576 is about 216.2774213170.
Adding to 10116576 its reverse (67561101), we get a palindrome (77677677).
The spelling of 10116576 in words is "ten million, one hundred sixteen thousand, five hundred seventy-six".
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