Base | Representation |
---|---|
bin | 100110100011… |
… | …000001000100 |
3 | 201000101022120 |
4 | 212203001010 |
5 | 10041324100 |
6 | 1000325540 |
7 | 151614231 |
oct | 46430104 |
9 | 21011276 |
10 | 10104900 |
11 | 5781a63 |
12 | 34738b0 |
13 | 212a540 |
14 | 14b0788 |
15 | d490a0 |
hex | 9a3044 |
10104900 has 72 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 2486400.
The previous prime is 10104893. The next prime is 10104907. The reversal of 10104900 is 940101.
It is an interprime number because it is at equal distance from previous prime (10104893) and next prime (10104907).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 10104900.
It is not an unprimeable number, because it can be changed into a prime (10104907) 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, 2605 + ... + 5195.
It is an arithmetic number, because the mean of its divisors is an integer number (437472).
Almost surely, 210104900 is an apocalyptic number.
10104900 is a gapful number since it is divisible by the number (10) 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 10104900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).
10104900 is an abundant number, since it is smaller than the sum of its proper divisors (21393084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10104900 is a wasteful number, since it uses less digits than its factorization.
10104900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2621 (or 2614 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 15.
The square root of 10104900 is about 3178.8205359850. The cubic root of 10104900 is about 216.1941840867.
The spelling of 10104900 in words is "ten million, one hundred four thousand, nine hundred".
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