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427014720 = 26335114493
BaseRepresentation
bin11001011100111…
…011101001000000
31002202111121002000
4121130323221000
51333303432340
6110212224000
713403364606
oct3134735100
91082447060
10427014720
111aa047530
12bb00b000
136a60c842
14409d7876
152774cd30
hex1973ba40

427014720 has 224 divisors, whose sum is σ = 1643725440. Its totient is φ = 103495680.

The previous prime is 427014667. The next prime is 427014751. The reversal of 427014720 is 27410724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92794 + ... + 97286.

It is an arithmetic number, because the mean of its divisors is an integer number (7338060).

Almost surely, 2427014720 is an apocalyptic number.

427014720 is a gapful number since it is divisible by the number (40) 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 427014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821862720).

427014720 is an abundant number, since it is smaller than the sum of its proper divisors (1216710720).

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

427014720 is a wasteful number, since it uses less digits than its factorization.

427014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 427014720 is about 20664.3344920663. The cubic root of 427014720 is about 753.0334741710.

The spelling of 427014720 in words is "four hundred twenty-seven million, fourteen thousand, seven hundred twenty".