Base | Representation |
---|---|
bin | 100111010000… |
… | …111110001001 |
3 | 201100221112000 |
4 | 213100332021 |
5 | 10113340004 |
6 | 1004341213 |
7 | 153330060 |
oct | 47207611 |
9 | 21327460 |
10 | 10293129 |
11 | 58a0420 |
12 | 3544809 |
13 | 2195112 |
14 | 151d1d7 |
15 | d84c39 |
hex | 9d0f89 |
10293129 has 32 divisors (see below), whose sum is σ = 19015680. Its totient is φ = 5346000.
The previous prime is 10293119. The next prime is 10293133. The reversal of 10293129 is 92139201.
10293129 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 10293129 - 24 = 10293113 is a prime.
It is a super-2 number, since 2×102931292 = 211897009221282, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (10293119) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397 + ... + 4554.
It is an arithmetic number, because the mean of its divisors is an integer number (594240).
Almost surely, 210293129 is an apocalyptic number.
It is an amenable number.
10293129 is a deficient number, since it is larger than the sum of its proper divisors (8722551).
10293129 is a wasteful number, since it uses less digits than its factorization.
10293129 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4978 (or 4972 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 27.
The square root of 10293129 is about 3208.2906663830. The cubic root of 10293129 is about 217.5283197369.
The spelling of 10293129 in words is "ten million, two hundred ninety-three thousand, one hundred twenty-nine".
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