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5418000 = 243253743
BaseRepresentation
bin10100101010110000010000
3101012021002200
4110222300100
52341334000
6312043200
764023630
oct24526020
911167080
105418000
113070695
121993500
131179123
14a106c0
15720500
hex52ac10

5418000 has 240 divisors, whose sum is σ = 22129536. Its totient is φ = 1209600.

The previous prime is 5417999. The next prime is 5418013. The reversal of 5418000 is 8145.

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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125979 + ... + 126021.

Almost surely, 25418000 is an apocalyptic number.

5418000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064768).

5418000 is an abundant number, since it is smaller than the sum of its proper divisors (16711536).

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

5418000 is a wasteful number, since it uses less digits than its factorization.

5418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5418000 is about 2327.6597689525. The cubic root of 5418000 is about 175.6357826150.

The spelling of 5418000 in words is "five million, four hundred eighteen thousand".