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998325120 = 273513233747
BaseRepresentation
bin111011100000010…
…011101110000000
32120120112011121110
4323200103232000
54021032400440
6243021323320
733511423602
oct7340235600
92516464543
10998325120
1147258a491
1223a406540
1312baa1a30
1496833172
155c9a0080
hex3b813b80

998325120 has 512 divisors, whose sum is σ = 3750727680. Its totient is φ = 223838208.

The previous prime is 998325101. The next prime is 998325137. The reversal of 998325120 is 21523899.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 21240937 + ... + 21240983.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2998325120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875363840).

998325120 is an abundant number, since it is smaller than the sum of its proper divisors (2752402560).

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

998325120 is a wasteful number, since it uses less digits than its factorization.

998325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 998325120 is about 31596.2833257331. The cubic root of 998325120 is about 999.4413946849.

The spelling of 998325120 in words is "nine hundred ninety-eight million, three hundred twenty-five thousand, one hundred twenty".