Base | Representation |
---|---|
bin | 10000011110101… |
… | …11110000100000 |
3 | 100122010200111200 |
4 | 20033113300200 |
5 | 240342402300 |
6 | 21415041200 |
7 | 3266040030 |
oct | 1017276040 |
9 | 318120450 |
10 | 138247200 |
11 | 71045193 |
12 | 3a370200 |
13 | 228455a0 |
14 | 145098c0 |
15 | c20c200 |
hex | 83d7c20 |
138247200 has 432 divisors, whose sum is σ = 602836416. Its totient is φ = 29030400.
The previous prime is 138247199. The next prime is 138247237. The reversal of 138247200 is 2742831.
It is a super-2 number, since 2×1382472002 = 38224576615680000, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655095 + ... + 655305.
Almost surely, 2138247200 is an apocalyptic number.
138247200 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 138247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301418208).
138247200 is an abundant number, since it is smaller than the sum of its proper divisors (464589216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138247200 is a wasteful number, since it uses less digits than its factorization.
138247200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 257 (or 241 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 138247200 is about 11757.8569475904. The cubic root of 138247200 is about 517.0733022630.
The spelling of 138247200 in words is "one hundred thirty-eight million, two hundred forty-seven thousand, two hundred".
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