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5240946240 = 2635567399
BaseRepresentation
bin1001110000110001…
…00111111001000000
3111112020202122200000
410320120213321000
541213140234430
62224015400000
7243606210435
oct47030477100
914466678600
105240946240
11224a417532
121023223000
13656a5132a
1437a0a1b8c
1520a19ce60
hex138627e40

5240946240 has 168 divisors, whose sum is σ = 18694603200. Its totient is φ = 1397564928.

The previous prime is 5240946229. The next prime is 5240946247. The reversal of 5240946240 is 426490425.

5240946240 is a `hidden beast` number, since 5 + 2 + 409 + 4 + 6 + 240 = 666.

It is a super-3 number, since 3×52409462403 (a number of 30 digits) contains 333 as substring.

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 = 5240946195 and 5240946204.

It is not an unprimeable number, because it can be changed into a prime (5240946247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44061 + ... + 111459.

It is an arithmetic number, because the mean of its divisors is an integer number (111277400).

Almost surely, 25240946240 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 5240946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9347301600).

5240946240 is an abundant number, since it is smaller than the sum of its proper divisors (13453656960).

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

5240946240 is an equidigital number, since it uses as much as digits as its factorization.

5240946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67431 (or 67409 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5240946240 is about 72394.3798923646. The cubic root of 5240946240 is about 1737.0136646889.

The spelling of 5240946240 in words is "five billion, two hundred forty million, nine hundred forty-six thousand, two hundred forty".