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897621120 = 273251131457
BaseRepresentation
bin110101100000001…
…001110010000000
32022120000212200200
4311200021302000
53314242333440
6225023045200
731146440124
oct6540116200
92276025620
10897621120
11420758040
12210740800
13113c72976
14872db584
1553c0bc30
hex35809c80

897621120 has 384 divisors, whose sum is σ = 3498094080. Its totient is φ = 210124800.

The previous prime is 897621113. The next prime is 897621133. The reversal of 897621120 is 21126798.

897621120 is a `hidden beast` number, since 8 + 9 + 7 + 621 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1963932 + ... + 1964388.

It is an arithmetic number, because the mean of its divisors is an integer number (9109620).

Almost surely, 2897621120 is an apocalyptic number.

897621120 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 897621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749047040).

897621120 is an abundant number, since it is smaller than the sum of its proper divisors (2600472960).

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

897621120 is a wasteful number, since it uses less digits than its factorization.

897621120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 897621120 is about 29960.3257659192. The cubic root of 897621120 is about 964.6379735007.

The spelling of 897621120 in words is "eight hundred ninety-seven million, six hundred twenty-one thousand, one hundred twenty".