Search a number
-
+
5315286240 = 2532511615501
BaseRepresentation
bin1001111001101000…
…01101010011100000
3111201102122111222100
410330310031103200
541341203124430
62235233010400
7245501121225
oct47464152340
914642574870
105315286240
112288382250
1210440b3a00
1366927c3b4
14385cd394c
15211984960
hex13cd0d4e0

5315286240 has 288 divisors, whose sum is σ = 20115400032. Its totient is φ = 1267200000.

The previous prime is 5315286217. The next prime is 5315286247. The reversal of 5315286240 is 426825135.

5315286240 is a `hidden beast` number, since 5 + 3 + 1 + 5 + 28 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 5315286195 and 5315286204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5315286247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963490 + ... + 968990.

It is an arithmetic number, because the mean of its divisors is an integer number (69845139).

Almost surely, 25315286240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5315286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10057700016).

5315286240 is an abundant number, since it is smaller than the sum of its proper divisors (14800113792).

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

5315286240 is a wasteful number, since it uses less digits than its factorization.

5315286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5315286240 is about 72906.0096288365. The cubic root of 5315286240 is about 1745.1880039255.

The spelling of 5315286240 in words is "five billion, three hundred fifteen million, two hundred eighty-six thousand, two hundred forty".