Search a number
-
+
259371140 = 225713713523
BaseRepresentation
bin11110111010110…
…11000010000100
3200002001102022112
433131123002010
51012344334030
641423120152
76266422040
oct1735330204
9602042275
10259371140
11123454416
1272a43058
1341973c62
1426639020
1517b85a95
hexf75b084

259371140 has 48 divisors (see below), whose sum is σ = 627080832. Its totient is φ = 88271616.

The previous prime is 259371127. The next prime is 259371143. The reversal of 259371140 is 41173952.

259371140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 259371097 and 259371106.

It is not an unprimeable number, because it can be changed into a prime (259371143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12419 + ... + 25941.

It is an arithmetic number, because the mean of its divisors is an integer number (13064184).

Almost surely, 2259371140 is an apocalyptic number.

259371140 is a gapful number since it is divisible by the number (20) 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 259371140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313540416).

259371140 is an abundant number, since it is smaller than the sum of its proper divisors (367709692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

259371140 is a wasteful number, since it uses less digits than its factorization.

259371140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13676 (or 13674 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 259371140 is about 16105.0035703194. The cubic root of 259371140 is about 637.7354373247.

The spelling of 259371140 in words is "two hundred fifty-nine million, three hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1370 1918 2740 3836 4795 9590 13523 19180 27046 54092 67615 94661 135230 189322 270460 378644 473305 946610 1852651 1893220 3705302 7410604 9263255 12968557 18526510 25937114 37053020 51874228 64842785 129685570 259371140