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897397760 = 21057473
BaseRepresentation
bin110101011111010…
…011010000000000
32022112121112022002
4311133103100000
53314213212020
6225014203132
731144520000
oct6537232000
92275545262
10897397760
11420615246
122106534a8
13113bc50bc
1487280000
1553bb5975
hex357d3400

897397760 has 220 divisors, whose sum is σ = 2545739268. Its totient is φ = 303464448.

The previous prime is 897397747. The next prime is 897397771. The reversal of 897397760 is 67793798.

It can be written as a sum of positive squares in 2 ways, for example, as 415507456 + 481890304 = 20384^2 + 21952^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 897397696 and 897397705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12293084 + ... + 12293156.

Almost surely, 2897397760 is an apocalyptic number.

897397760 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 897397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272869634).

897397760 is an abundant number, since it is smaller than the sum of its proper divisors (1648341508).

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

897397760 is an frugal number, since it uses more digits than its factorization.

897397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 56.

The square root of 897397760 is about 29956.5979376831. The cubic root of 897397760 is about 964.5579548057.

The spelling of 897397760 in words is "eight hundred ninety-seven million, three hundred ninety-seven thousand, seven hundred sixty".