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5418030960 = 24325431391259
BaseRepresentation
bin1010000101111000…
…01001011101110000
3111222120222111020100
411002330021131300
542044003442320
62253343112400
7251156334426
oct50274113560
914876874210
105418030960
112330378941
1210725a2700
136846442a4
143957db116
1521a9cc790
hex142f09770

5418030960 has 240 divisors, whose sum is σ = 18767548800. Its totient is φ = 1399942656.

The previous prime is 5418030941. The next prime is 5418030967. The reversal of 5418030960 is 690308145.

5418030960 is a `hidden beast` number, since 541 + 80 + 30 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5418030967) 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, 4302811 + ... + 4304069.

It is an arithmetic number, because the mean of its divisors is an integer number (78198120).

Almost surely, 25418030960 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 5418030960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9383774400).

5418030960 is an abundant number, since it is smaller than the sum of its proper divisors (13349517840).

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

5418030960 is a wasteful number, since it uses less digits than its factorization.

5418030960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5418030960 is about 73607.2751839110. The cubic root of 5418030960 is about 1756.3611715867.

The spelling of 5418030960 in words is "five billion, four hundred eighteen million, thirty thousand, nine hundred sixty".