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898485120 = 2732513371
BaseRepresentation
bin110101100011011…
…100101110000000
32022121122202212200
4311203130232000
53320003010440
6225053353200
731156666101
oct6543345600
92277582780
10898485120
11421198195
12210a98800
131141b6000
14874843a8
1553d2cc30
hex358dcb80

898485120 has 384 divisors, whose sum is σ = 3408350400. Its totient is φ = 218050560.

The previous prime is 898485113. The next prime is 898485127. The reversal of 898485120 is 21584898.

It is a happy number.

898485120 is a `hidden beast` number, since 8 + 98 + 48 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (898485113) and next prime (898485127).

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

It is a super-2 number, since 2×8984851202 = 1614551021722828800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (898485127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12654685 + ... + 12654755.

Almost surely, 2898485120 is an apocalyptic number.

898485120 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 898485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704175200).

898485120 is an abundant number, since it is smaller than the sum of its proper divisors (2509865280).

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

898485120 is a wasteful number, since it uses less digits than its factorization.

898485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 898485120 is about 29974.7413666907. The cubic root of 898485120 is about 964.9473764784.

The spelling of 898485120 in words is "eight hundred ninety-eight million, four hundred eighty-five thousand, one hundred twenty".