Base | Representation |
---|---|
bin | 101001010101… |
… | …000001110000 |
3 | 202101102111110 |
4 | 221111001300 |
5 | 10233142112 |
6 | 1024113320 |
7 | 161042046 |
oct | 51250160 |
9 | 22342443 |
10 | 10834032 |
11 | 612a850 |
12 | 3765840 |
13 | 2324391 |
14 | 1620396 |
15 | e4013c |
hex | a55070 |
10834032 has 120 divisors (see below), whose sum is σ = 32890752. Its totient is φ = 3046400.
The previous prime is 10834013. The next prime is 10834037. The reversal of 10834032 is 23043801.
It is a happy number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10834037) 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, 152557 + ... + 152627.
Almost surely, 210834032 is an apocalyptic number.
10834032 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 10834032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445376).
10834032 is an abundant number, since it is smaller than the sum of its proper divisors (22056720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10834032 is a wasteful number, since it uses less digits than its factorization.
10834032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 127 (or 104 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 10834032 is about 3291.5090763964. The cubic root of 10834032 is about 221.2738223256.
Adding to 10834032 its reverse (23043801), we get a palindrome (33877833).
It can be divided in two parts, 1083 and 4032, that added together give a palindrome (5115).
The spelling of 10834032 in words is "ten million, eight hundred thirty-four thousand, thirty-two".
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