Search a number
-
+
260731000 = 23531272053
BaseRepresentation
bin11111000101001…
…11000001111000
3200011121111200201
433202213001320
51013221343000
641512211544
76314114455
oct1742470170
9604544621
10260731000
111241a3072
1273399bb4
134202bbca
14268b082c
1517d5396a
hexf8a7078

260731000 has 64 divisors (see below), whose sum is σ = 615214080. Its totient is φ = 103420800.

The previous prime is 260730991. The next prime is 260731001. The reversal of 260731000 is 137062.

260731000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2607310002 = 135961308722000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260731001) 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, 125974 + ... + 128026.

It is an arithmetic number, because the mean of its divisors is an integer number (9612720).

Almost surely, 2260731000 is an apocalyptic number.

260731000 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 260731000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307607040).

260731000 is an abundant number, since it is smaller than the sum of its proper divisors (354483080).

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

260731000 is a wasteful number, since it uses less digits than its factorization.

260731000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 260731000 is about 16147.1669341715. The cubic root of 260731000 is about 638.8480253917.

Adding to 260731000 its reverse (137062), we get a palindrome (260868062).

The spelling of 260731000 in words is "two hundred sixty million, seven hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 500 508 635 1000 1016 1270 2053 2540 3175 4106 5080 6350 8212 10265 12700 15875 16424 20530 25400 31750 41060 51325 63500 82120 102650 127000 205300 256625 260731 410600 513250 521462 1026500 1042924 1303655 2053000 2085848 2607310 5214620 6518275 10429240 13036550 26073100 32591375 52146200 65182750 130365500 260731000