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1998280704 = 2113797479
BaseRepresentation
bin111011100011011…
…0101100000000000
312011021010011210110
41313012311200000
513043024440304
6530142031320
7100343051160
oct16706654000
95137104713
101998280704
11935a82962
12479278540
1325acc4924
1414d56c5a0
15ba673289
hex771b5800

1998280704 has 192 divisors, whose sum is σ = 6164121600. Its totient is φ = 563871744.

The previous prime is 1998280703. The next prime is 1998280727. The reversal of 1998280704 is 4070828991.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998280703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4171537 + ... + 4172015.

It is an arithmetic number, because the mean of its divisors is an integer number (32104800).

Almost surely, 21998280704 is an apocalyptic number.

1998280704 is a gapful number since it is divisible by the number (14) 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 1998280704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082060800).

1998280704 is an abundant number, since it is smaller than the sum of its proper divisors (4165840896).

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

1998280704 is an equidigital number, since it uses as much as digits as its factorization.

1998280704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 1998280704 is about 44702.1331034661. The cubic root of 1998280704 is about 1259.5599168558.

The spelling of 1998280704 in words is "one billion, nine hundred ninety-eight million, two hundred eighty thousand, seven hundred four".