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1485120 = 263571317
BaseRepresentation
bin101101010100101000000
32210110012110
411222211000
5340010440
651455320
715423540
oct5524500
92713173
101485120
1192487a
125b7540
133ccc90
142a9320
151e5080
hex16a940

1485120 has 224 divisors, whose sum is σ = 6144768. Its totient is φ = 294912.

The previous prime is 1485109. The next prime is 1485139. The reversal of 1485120 is 215841.

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 (21).

It is a zygodrome in base 4.

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, 87352 + ... + 87368.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

21485120 is an apocalyptic number.

1485120 is a gapful number since it is divisible by the number (10) 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 1485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384).

1485120 is an abundant number, since it is smaller than the sum of its proper divisors (4659648).

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

1485120 is a wasteful number, since it uses less digits than its factorization.

1485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1485120 is about 1218.6549962971. The cubic root of 1485120 is about 114.0916468330.

The spelling of 1485120 in words is "one million, four hundred eighty-five thousand, one hundred twenty".