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897720320 = 2135731101
BaseRepresentation
bin110101100000100…
…010000000000000
32022120012220202202
4311200202000000
53314304022240
6225025132332
731150332260
oct6540420000
92276186682
10897720320
11420815622
1221078a0a8
13113ca8b73
14873257a0
1553c2b315
hex35822000

897720320 has 224 divisors, whose sum is σ = 2566757376. Its totient is φ = 294912000.

The previous prime is 897720287. The next prime is 897720349. The reversal of 897720320 is 23027798.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8888270 + ... + 8888370.

Almost surely, 2897720320 is an apocalyptic number.

897720320 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 897720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283378688).

897720320 is an abundant number, since it is smaller than the sum of its proper divisors (1669037056).

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

897720320 is a wasteful number, since it uses less digits than its factorization.

897720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 897720320 is about 29961.9812429018. The cubic root of 897720320 is about 964.6735076327.

The spelling of 897720320 in words is "eight hundred ninety-seven million, seven hundred twenty thousand, three hundred twenty".