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427062720 = 26357103617
BaseRepresentation
bin11001011101000…
…111010111000000
31002202121000220210
4121131013113000
51333312001340
6110213234120
713403654550
oct3135072700
91082530823
10427062720
111aa07a5a7
12bb032940
136a628646
1440a0b160
152775c180
hex197475c0

427062720 has 224 divisors, whose sum is σ = 1567208448. Its totient is φ = 96509952.

The previous prime is 427062697. The next prime is 427062731. The reversal of 427062720 is 27260724.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 691852 + ... + 692468.

Almost surely, 2427062720 is an apocalyptic number.

427062720 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 427062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783604224).

427062720 is an abundant number, since it is smaller than the sum of its proper divisors (1140145728).

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

427062720 is a wasteful number, since it uses less digits than its factorization.

427062720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 427062720 is about 20665.4958808154. The cubic root of 427062720 is about 753.0616888522.

The spelling of 427062720 in words is "four hundred twenty-seven million, sixty-two thousand, seven hundred twenty".