Base | Representation |
---|---|
bin | 100110110011… |
… | …100100101000 |
3 | 201010211100010 |
4 | 212303210220 |
5 | 10101011322 |
6 | 1002011520 |
7 | 152316024 |
oct | 46634450 |
9 | 21124303 |
10 | 10172712 |
11 | 5818a00 |
12 | 34a6ba0 |
13 | 2152374 |
14 | 14cb384 |
15 | d5e20c |
hex | 9b3928 |
10172712 has 96 divisors (see below), whose sum is σ = 29111040. Its totient is φ = 2956800.
The previous prime is 10172699. The next prime is 10172717. The reversal of 10172712 is 21727101.
It is a happy number.
It is not an unprimeable number, because it can be changed into a prime (10172717) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89968 + ... + 90080.
It is an arithmetic number, because the mean of its divisors is an integer number (303240).
Almost surely, 210172712 is an apocalyptic number.
10172712 is a gapful number since it is divisible by the number (12) 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 10172712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555520).
10172712 is an abundant number, since it is smaller than the sum of its proper divisors (18938328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10172712 is a wasteful number, since it uses less digits than its factorization.
10172712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 175 (or 160 counting only the distinct ones).
The product of its (nonzero) digits is 196, while the sum is 21.
The square root of 10172712 is about 3189.4689213096. The cubic root of 10172712 is about 216.6767185343.
Adding to 10172712 its reverse (21727101), we get a palindrome (31899813).
The spelling of 10172712 in words is "ten million, one hundred seventy-two thousand, seven hundred twelve".
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