| Base | Representation |
|---|---|
| bin | 11000110000111… |
| … | …01010100100000 |
| 3 | 112110220012011100 |
| 4 | 30120131110200 |
| 5 | 411140110034 |
| 6 | 32340314400 |
| 7 | 5101513365 |
| oct | 1430352440 |
| 9 | 473805140 |
| 10 | 207738144 |
| 11 | a7298819 |
| 12 | 596a2a00 |
| 13 | 340664a3 |
| 14 | 1d83846c |
| 15 | 13387099 |
| hex | c61d520 |
207738144 has 144 divisors (see below), whose sum is σ = 615999384. Its totient is φ = 66355200.
The previous prime is 207738137. The next prime is 207738149. The reversal of 207738144 is 441837702.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 158457744 + 49280400 = 12588^2 + 7020^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 207738099 and 207738108.
It is not an unprimeable number, because it can be changed into a prime (207738149) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861864 + ... + 862104.
Almost surely, 2207738144 is an apocalyptic number.
207738144 is a gapful number since it is divisible by the number (24) 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 207738144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307999692).
207738144 is an abundant number, since it is smaller than the sum of its proper divisors (408261240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
207738144 is a wasteful number, since it uses less digits than its factorization.
207738144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 371 (or 360 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 207738144 is about 14413.1240194484. The cubic root of 207738144 is about 592.2504722924.
The spelling of 207738144 in words is "two hundred seven million, seven hundred thirty-eight thousand, one hundred forty-four".
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