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5385018240 = 27335744519
BaseRepresentation
bin1010000001111100…
…01101101110000000
3111220021212021022000
411000332031232000
542012031040430
62250203344000
7250305620430
oct50076155600
914807767260
105385018240
11231377a9a8
121063522000
1367a855c34
143912862c0
15217b5ae60
hex140f8db80

5385018240 has 256 divisors, whose sum is σ = 21796992000. Its totient is φ = 1230833664.

The previous prime is 5385018167. The next prime is 5385018241. The reversal of 5385018240 is 428105835.

It is a happy number.

5385018240 is a `hidden beast` number, since 5 + 38 + 501 + 82 + 40 = 666.

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 = 5385018195 and 5385018204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385018241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98701 + ... + 143219.

It is an arithmetic number, because the mean of its divisors is an integer number (85144500).

Almost surely, 25385018240 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 5385018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10898496000).

5385018240 is an abundant number, since it is smaller than the sum of its proper divisors (16411973760).

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

5385018240 is a wasteful number, since it uses less digits than its factorization.

5385018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44554 (or 44536 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5385018240 is about 73382.6835159358. The cubic root of 5385018240 is about 1752.7866611796.

The spelling of 5385018240 in words is "five billion, three hundred eighty-five million, eighteen thousand, two hundred forty".