Base | Representation |
---|---|
bin | 10001011100001… |
… | …01010011110100 |
3 | 101012021201021011 |
4 | 20232011103310 |
5 | 244423014400 |
6 | 22303402004 |
7 | 3424341034 |
oct | 1056052364 |
9 | 335251234 |
10 | 146298100 |
11 | 75643a23 |
12 | 40bb3304 |
13 | 24403c30 |
14 | 156038c4 |
15 | cc9c8ba |
hex | 8b854f4 |
146298100 has 72 divisors (see below), whose sum is σ = 359942240. Its totient is φ = 51166080.
The previous prime is 146298079. The next prime is 146298109. The reversal of 146298100 is 1892641.
It is a happy number.
It is a super-2 number, since 2×1462981002 = 42806268127220000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (146298109) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21739 + ... + 27661.
Almost surely, 2146298100 is an apocalyptic number.
146298100 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 146298100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179971120).
146298100 is an abundant number, since it is smaller than the sum of its proper divisors (213644140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146298100 is a wasteful number, since it uses less digits than its factorization.
146298100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5969 (or 5962 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 31.
The square root of 146298100 is about 12095.3751492048. The cubic root of 146298100 is about 526.9218751023.
The spelling of 146298100 in words is "one hundred forty-six million, two hundred ninety-eight thousand, one hundred".
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