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5560381440 = 21232597311
BaseRepresentation
bin1010010110110110…
…01011000000000000
3112100111211122101100
411023123023000000
542341424201230
62315430134400
7254535314415
oct51333130000
915314748340
105560381440
1123a3765969
1210b21b1400
136a7c95443
143aa69410c
1522824a660
hex14b6cb000

5560381440 has 312 divisors, whose sum is σ = 19534945248. Its totient is φ = 1462763520.

The previous prime is 5560381429. The next prime is 5560381459. The reversal of 5560381440 is 441830655.

It is a happy number.

5560381440 is a `hidden beast` number, since 5 + 5 + 603 + 8 + 1 + 4 + 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 = 5560381395 and 5560381404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17878885 + ... + 17879195.

It is an arithmetic number, because the mean of its divisors is an integer number (62612004).

Almost surely, 25560381440 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 5560381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767472624).

5560381440 is an abundant number, since it is smaller than the sum of its proper divisors (13974563808).

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

5560381440 is a wasteful number, since it uses less digits than its factorization.

5560381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 418 counting only the distinct ones).

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

The square root of 5560381440 is about 74567.9652397730. The cubic root of 5560381440 is about 1771.6102936313.

The spelling of 5560381440 in words is "five billion, five hundred sixty million, three hundred eighty-one thousand, four hundred forty".