Base | Representation |
---|---|
bin | 1100100000100… |
… | …00000000000000 |
3 | 21022102122111002 |
4 | 12100100000000 |
5 | 203330020021 |
6 | 14224511132 |
7 | 2412555233 |
oct | 620200000 |
9 | 238378432 |
10 | 104923136 |
11 | 5425433a |
12 | 2b17b4a8 |
13 | 189785c6 |
14 | dd1341a |
15 | 932850b |
hex | 6410000 |
104923136 has 34 divisors (see below), whose sum is σ = 209975742. Its totient is φ = 52428800.
The previous prime is 104923123. The next prime is 104923193. The reversal of 104923136 is 631329401.
It can be written as a sum of positive squares in only one way, i.e., 104857600 + 65536 = 10240^2 + 256^2 .
It is a super-2 number, since 2×1049231362 = 22017728936148992, which contains 22 as substring.
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 104923099 and 104923108.
It is an unprimeable number.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64736 + ... + 66336.
Almost surely, 2104923136 is an apocalyptic number.
104923136 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 104923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104987871).
104923136 is an abundant number, since it is smaller than the sum of its proper divisors (105052606).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104923136 is an frugal number, since it uses more digits than its factorization.
104923136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1633 (or 1603 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 29.
The square root of 104923136 is about 10243.1995001562. The cubic root of 104923136 is about 471.6542522062.
The spelling of 104923136 in words is "one hundred four million, nine hundred twenty-three thousand, one hundred thirty-six".
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