Base | Representation |
---|---|
bin | 1011111110100… |
… | …00101010000000 |
3 | 21000001101002000 |
4 | 11333100222000 |
5 | 201210010001 |
6 | 13545224000 |
7 | 2326655430 |
oct | 577205200 |
9 | 230041060 |
10 | 100469376 |
11 | 51792147 |
12 | 29792000 |
13 | 17a79347 |
14 | d4b42c0 |
15 | 8c48a86 |
hex | 5fd0a80 |
100469376 has 128 divisors (see below), whose sum is σ = 338966400. Its totient is φ = 28698624.
The previous prime is 100469363. The next prime is 100469377. The reversal of 100469376 is 673964001.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 100469376.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100469377) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22116 + ... + 26268.
It is an arithmetic number, because the mean of its divisors is an integer number (2648175).
Almost surely, 2100469376 is an apocalyptic number.
100469376 is a gapful number since it is divisible by the number (16) 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 100469376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169483200).
100469376 is an abundant number, since it is smaller than the sum of its proper divisors (238497024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100469376 is an equidigital number, since it uses as much as digits as its factorization.
100469376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4183 (or 4165 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
The square root of 100469376 is about 10023.4413252136. The cubic root of 100469376 is about 464.8839668859.
The spelling of 100469376 in words is "one hundred million, four hundred sixty-nine thousand, three hundred seventy-six".
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