Base | Representation |
---|---|
bin | 100110110011… |
… | …111001110100 |
3 | 201010220012100 |
4 | 212303321310 |
5 | 10101032233 |
6 | 1002022100 |
7 | 152323002 |
oct | 46637164 |
9 | 21126170 |
10 | 10174068 |
11 | 5819a23 |
12 | 34a7930 |
13 | 2152b78 |
14 | 14cba72 |
15 | d5e813 |
hex | 9b3e74 |
10174068 has 72 divisors (see below), whose sum is σ = 27013896. Its totient is φ = 3225600.
The previous prime is 10174067. The next prime is 10174069. The reversal of 10174068 is 86047101.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (10174067) and next prime (10174069).
It can be written as a sum of positive squares in 4 ways, for example, as 2490084 + 7683984 = 1578^2 + 2772^2 .
It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10174061) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89980 + ... + 90092.
It is an arithmetic number, because the mean of its divisors is an integer number (375193).
Almost surely, 210174068 is an apocalyptic number.
10174068 is a gapful number since it is divisible by the number (18) 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 10174068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13506948).
10174068 is an abundant number, since it is smaller than the sum of its proper divisors (16839828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10174068 is a wasteful number, since it uses less digits than its factorization.
10174068 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 225 (or 220 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 27.
The square root of 10174068 is about 3189.6814888010. The cubic root of 10174068 is about 216.6863456156.
It can be divided in two parts, 1017 and 4068, that multiplied together give a square (4137156 = 20342).
The spelling of 10174068 in words is "ten million, one hundred seventy-four thousand, sixty-eight".
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