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1998097920 = 29325713953
BaseRepresentation
bin111011100011000…
…1000111000000000
312011020202220001200
41313012020320000
513043003113140
6530134101200
7100341360240
oct16706107000
95136686050
101998097920
119359685a5
124791aa800
1325ac5c680
1414d521b20
15ba639030
hex77188e00

1998097920 has 480 divisors, whose sum is σ = 8525829312. Its totient is φ = 421134336.

The previous prime is 1998097909. The next prime is 1998097943. The reversal of 1998097920 is 297908991.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 2096164 + ... + 2097116.

Almost surely, 21998097920 is an apocalyptic number.

1998097920 is a gapful number since it is divisible by the number (10) 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 1998097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262914656).

1998097920 is an abundant number, since it is smaller than the sum of its proper divisors (6527731392).

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

1998097920 is a wasteful number, since it uses less digits than its factorization.

1998097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The square root of 1998097920 is about 44700.0885905162. The cubic root of 1998097920 is about 1259.5215114373.

The spelling of 1998097920 in words is "one billion, nine hundred ninety-eight million, ninety-seven thousand, nine hundred twenty".