Base | Representation |
---|---|
bin | 100110001110… |
… | …010011000000 |
3 | 200212001220022 |
4 | 212032103000 |
5 | 10031120112 |
6 | 554433012 |
7 | 151111631 |
oct | 46162300 |
9 | 20761808 |
10 | 10020032 |
11 | 5724220 |
12 | 3432768 |
13 | 20caa19 |
14 | 148b888 |
15 | d2dd72 |
hex | 98e4c0 |
10020032 has 56 divisors (see below), whose sum is σ = 22262592. Its totient is φ = 4435200.
The previous prime is 10020013. The next prime is 10020041. The reversal of 10020032 is 23002001.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30107 + ... + 30437.
Almost surely, 210020032 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 10020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11131296).
10020032 is an abundant number, since it is smaller than the sum of its proper divisors (12242560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10020032 is a wasteful number, since it uses less digits than its factorization.
10020032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 397 (or 387 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 8.
The square root of 10020032 is about 3165.4434128570. The cubic root of 10020032 is about 215.5872318363.
Adding to 10020032 its reverse (23002001), we get a palindrome (33022033).
The spelling of 10020032 in words is "ten million, twenty thousand, thirty-two".
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