Base | Representation |
---|---|
bin | 1100001000000… |
… | …11000000100000 |
3 | 21002102010100200 |
4 | 12010003000200 |
5 | 202020133232 |
6 | 14032145200 |
7 | 2343432663 |
oct | 604030040 |
9 | 232363320 |
10 | 101724192 |
11 | 52469989 |
12 | 2a098200 |
13 | 180c853b |
14 | d71d6da |
15 | 8de577c |
hex | 6103020 |
101724192 has 144 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 31389696.
The previous prime is 101724179. The next prime is 101724247. The reversal of 101724192 is 291427101.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1017241922 = 20695622476105728, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386653 + ... + 386915.
It is an arithmetic number, because the mean of its divisors is an integer number (2162160).
Almost surely, 2101724192 is an apocalyptic number.
101724192 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 101724192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).
101724192 is an abundant number, since it is smaller than the sum of its proper divisors (209626848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101724192 is a wasteful number, since it uses less digits than its factorization.
101724192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 375 (or 364 counting only the distinct ones).
The product of its (nonzero) digits is 1008, while the sum is 27.
The square root of 101724192 is about 10085.8411647220. The cubic root of 101724192 is about 466.8113601207.
The spelling of 101724192 in words is "one hundred one million, seven hundred twenty-four thousand, one hundred ninety-two".
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