Base | Representation |
---|---|
bin | 10000111000111… |
… | …10111010110000 |
3 | 100212121022110101 |
4 | 20130132322300 |
5 | 242232400100 |
6 | 22020442144 |
7 | 3340204024 |
oct | 1034367260 |
9 | 325538411 |
10 | 141684400 |
11 | 72a82650 |
12 | 3b549354 |
13 | 23479c30 |
14 | 14b62384 |
15 | c68a86a |
hex | 871eeb0 |
141684400 has 120 divisors (see below), whose sum is σ = 400068144. Its totient is φ = 47539200.
The previous prime is 141684377. The next prime is 141684419. The reversal of 141684400 is 4486141.
141684400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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, 55962 + ... + 58438.
Almost surely, 2141684400 is an apocalyptic number.
141684400 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 141684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200034072).
141684400 is an abundant number, since it is smaller than the sum of its proper divisors (258383744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141684400 is a wasteful number, since it uses less digits than its factorization.
141684400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2519 (or 2508 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 28.
The square root of 141684400 is about 11903.1256399317. The cubic root of 141684400 is about 521.3235513951.
The spelling of 141684400 in words is "one hundred forty-one million, six hundred eighty-four thousand, four hundred".
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