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897143040 = 2834517509
BaseRepresentation
bin110101011110010…
…101000100000000
32022112010120220000
4311132111010000
53314132034130
6225004520000
731142406243
oct6536250400
92275116800
10897143040
11420460932
12210550000
13113b36191
148721525a
1553b65260
hex35795100

897143040 has 360 divisors, whose sum is σ = 3405651480. Its totient is φ = 224722944.

The previous prime is 897143029. The next prime is 897143077. The reversal of 897143040 is 40341798.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 318836736 + 578306304 = 17856^2 + 24048^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 897142986 and 897143004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762306 + ... + 1762814.

It is an arithmetic number, because the mean of its divisors is an integer number (9460143).

Almost surely, 2897143040 is an apocalyptic number.

897143040 is a gapful number since it is divisible by the number (80) 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 897143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702825740).

897143040 is an abundant number, since it is smaller than the sum of its proper divisors (2508508440).

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

897143040 is a wasteful number, since it uses less digits than its factorization.

897143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 897143040 is about 29952.3461518459. The cubic root of 897143040 is about 964.4666851879.

The spelling of 897143040 in words is "eight hundred ninety-seven million, one hundred forty-three thousand, forty".