Search a number
-
+
263139840 = 2937547
BaseRepresentation
bin11111010111100…
…11001000000000
3200100010220000000
433223303020000
51014330433330
642040000000
76343436355
oct1753631000
9610126000
10263139840
11125598947
1274160000
1342693462
1426d3a62c
151817c560
hexfaf3200

263139840 has 320 divisors, whose sum is σ = 966366720. Its totient is φ = 68677632.

The previous prime is 263139829. The next prime is 263139841. The reversal of 263139840 is 48931362.

263139840 is a `hidden beast` number, since 263 + 1 + 398 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 263139795 and 263139804.

It is not an unprimeable number, because it can be changed into a prime (263139841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598697 + ... + 5598743.

It is an arithmetic number, because the mean of its divisors is an integer number (3019896).

Almost surely, 2263139840 is an apocalyptic number.

263139840 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 263139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483183360).

263139840 is an abundant number, since it is smaller than the sum of its proper divisors (703226880).

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

263139840 is an frugal number, since it uses more digits than its factorization.

263139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 263139840 is about 16221.5856191681. The cubic root of 263139840 is about 640.8093926158.

The spelling of 263139840 in words is "two hundred sixty-three million, one hundred thirty-nine thousand, eight hundred forty".